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Generic coarse geometry of leaves [e-book] / Jesús A. Álvarez López, Alberto Candel
| Generic coarse geometry of leaves [e-book] / Jesús A. Álvarez López, Alberto Candel |
| Autore | Alvarez López, Jesús A. |
| Descrizione fisica | 1 online resource (xv, 173 pages) : illustrations |
| Disciplina | 514.72 |
| Altri autori (Persone) | Candel, Albertoauthor |
| Collana | Lecture notes in mathematics, 0075-8434 ; 2223 |
| Soggetto topico |
Foliations (Mathematics)
Riemannian manifolds |
| ISBN |
9783319941325
3319941321 9783319941318 |
| Classificazione |
AMS 57R30
AMS 53C12 LC QA613.62 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003636939707536 |
Alvarez López, Jesús A.
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| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Geometry of foliations / Philippe Tondeur
| Geometry of foliations / Philippe Tondeur |
| Autore | Tondeur, Philippe |
| Pubbl/distr/stampa | Basel : Birkhauser Verlag, c1997 |
| Descrizione fisica | viii, 305 p. ; 24 cm |
| Disciplina | 516.362 |
| Collana | Monographs in mathematics ; 90 |
| Soggetto topico | Foliations (Mathematics) |
| ISBN | 376435741X |
| Classificazione |
AMS 53C12
AMS 57R30 AMS 58A14 LC QA613.62.T643 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003682599707536 |
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Tondeur, Philippe
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| Basel : Birkhauser Verlag, c1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Holomorphic foliations with singularities : key concepts and modern results / / Bruno Scárdua
| Holomorphic foliations with singularities : key concepts and modern results / / Bruno Scárdua |
| Autore | Scárdua Bruno |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (172 pages) |
| Disciplina | 514.72 |
| Collana | Latin American Mathematics |
| Soggetto topico |
Foliations (Mathematics)
Domains of holomorphy Algebraic topology Foliacions (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-76705-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 The Classical Notions of Foliations -- 1.1 Definition of Foliation -- 1.2 Other Definitions of Foliation -- 1.3 Frobenius Theorem -- 1.4 Holonomy -- 1.5 Exercises -- 2 Some Results from Several Complex Variables -- 2.1 Some Extension Theorems from Several Complex Variables -- 2.2 Levi's Global Extension Theorem -- 2.3 Exercises -- 3 Holomorphic Foliations: Non-singular Case -- 3.1 Basic Concepts -- 3.2 Examples -- 3.3 The Identity Principle for Holomorphic Foliations -- 3.4 Exercises -- 4 Holomorphic Foliations with Singularities -- 4.1 Linear Vector Fields on the Plane -- 4.2 One-Dimensional Foliations with Isolated Singularities -- 4.3 Differential Forms and Vector Fields -- 4.4 Codimension One Foliations with Singularities -- 4.5 Analytic Leaves -- 4.6 Two Extension Lemmas for Holomorphic Foliations -- 4.7 Kupka Singularities and Simple Singularities -- 4.8 Exercises -- 5 Holomorphic Foliations Given by Closed 1-Forms -- 5.1 Foliations Given by Closed Holomorphic 1-Forms -- 5.1.1 Holonomy of Foliations Defined by Closed Holomorphic 1-Forms -- 5.2 Foliations Given by Closed Meromorphic 1-Forms -- 5.2.1 Holonomy of Foliations Defined by Closed meromorphic 1-Forms -- 5.3 Exercises -- 6 Reduction of Singularities -- 6.1 Irreducible Singularities -- 6.2 Poincaré and Poincaré-Dulac Normal Forms -- 6.3 Blow-up at the Origin (Quadratic Blow-up) -- 6.4 Blow-up on Surfaces -- 6.4.1 Resolution of Curves -- 6.5 Blow-up of a Singular Point of a Foliation -- 6.6 Irreducible Singularities -- 6.7 Separatrices: Dicriticalness and Existence -- 6.8 Holonomy and Analytic Classification -- 6.8.1 Holonomy of Irreducible Singularities -- 6.8.2 Holonomy and Analytic Classification of Irreducible Singularities -- 6.9 Examples -- 6.10 Exercises -- 7 Holomorphic First Integrals -- 7.1 Mattei-Moussu Theorem.
7.2 Groups of Germs of Holomorphic Diffeomorphisms -- 7.3 Irreducible Singularities -- 7.4 The Case of a Single Blow-up -- 7.5 The General Case -- 7.6 Exercises -- 8 Dynamics of a Local Diffeomorphism -- 8.1 Hyperbolic Case -- 8.2 Parabolic Case -- 8.3 Elliptic Case -- 8.4 Exercises -- 9 Foliations on Complex Projective Spaces -- 9.1 The Complex Projective Plane and Foliations -- 9.2 The Theorem of Darboux-Jouanolou -- 9.3 Foliations Given by Closed 1-Forms -- 9.4 Riccati Foliations -- 9.5 Examples of Foliations on C P(2) -- 9.6 Example of an Action of a Low-dimensional Lie Algebra -- 9.7 A Family of Foliations on C P(3) Not Coming from Plane Foliations -- 9.8 Exercises -- 10 Foliations with Algebraic Limit Sets -- 10.1 Limit Sets of Foliations -- 10.2 Groups of Germs of Diffeomorphisms with Finite Limit Set -- 10.3 Virtual Holonomy Groups -- 10.4 Construction of Closed Meromorphic Forms -- 10.5 The Linearization Theorem -- 10.6 Examples -- 10.7 Exercises -- 11 Some Modern Questions -- 11.1 Holomorphic Flows on Stein Spaces -- 11.1.1 Suzuki's Theory -- 11.1.2 Proof of the Global Linearization Theorem -- 11.2 Real Transverse Sections of Holomorphic Foliations -- 11.3 Non-trivial Minimal Sets of Holomorphic Foliations -- 11.4 Transversely Homogeneous Holomorphic Foliations -- 11.4.1 Transversely Lie Foliations -- 11.5 Transversely Affine Foliations -- 11.6 Transversely Projective Foliations -- 11.6.1 Development of a Transversely Projective Foliation-Touzet's Work -- 11.6.2 Projective Structures and Differential Forms -- Proof of Proposition 11.6.5 -- Classification of Projective Foliations: Moderate Growth on Projective Manifolds -- 12 Miscellaneous Exercises and Some Open Questions -- 12.1 Miscellaneous Exercises -- 12.2 Some Open Questions -- Bibliography -- Index. |
| Record Nr. | UNISA-996466563603316 |
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Scárdua Bruno
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Holomorphic foliations with singularities : key concepts and modern results / / Bruno Scárdua
| Holomorphic foliations with singularities : key concepts and modern results / / Bruno Scárdua |
| Autore | Scárdua Bruno |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (172 pages) |
| Disciplina | 514.72 |
| Collana | Latin American Mathematics |
| Soggetto topico |
Foliations (Mathematics)
Domains of holomorphy Algebraic topology Foliacions (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-76705-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 The Classical Notions of Foliations -- 1.1 Definition of Foliation -- 1.2 Other Definitions of Foliation -- 1.3 Frobenius Theorem -- 1.4 Holonomy -- 1.5 Exercises -- 2 Some Results from Several Complex Variables -- 2.1 Some Extension Theorems from Several Complex Variables -- 2.2 Levi's Global Extension Theorem -- 2.3 Exercises -- 3 Holomorphic Foliations: Non-singular Case -- 3.1 Basic Concepts -- 3.2 Examples -- 3.3 The Identity Principle for Holomorphic Foliations -- 3.4 Exercises -- 4 Holomorphic Foliations with Singularities -- 4.1 Linear Vector Fields on the Plane -- 4.2 One-Dimensional Foliations with Isolated Singularities -- 4.3 Differential Forms and Vector Fields -- 4.4 Codimension One Foliations with Singularities -- 4.5 Analytic Leaves -- 4.6 Two Extension Lemmas for Holomorphic Foliations -- 4.7 Kupka Singularities and Simple Singularities -- 4.8 Exercises -- 5 Holomorphic Foliations Given by Closed 1-Forms -- 5.1 Foliations Given by Closed Holomorphic 1-Forms -- 5.1.1 Holonomy of Foliations Defined by Closed Holomorphic 1-Forms -- 5.2 Foliations Given by Closed Meromorphic 1-Forms -- 5.2.1 Holonomy of Foliations Defined by Closed meromorphic 1-Forms -- 5.3 Exercises -- 6 Reduction of Singularities -- 6.1 Irreducible Singularities -- 6.2 Poincaré and Poincaré-Dulac Normal Forms -- 6.3 Blow-up at the Origin (Quadratic Blow-up) -- 6.4 Blow-up on Surfaces -- 6.4.1 Resolution of Curves -- 6.5 Blow-up of a Singular Point of a Foliation -- 6.6 Irreducible Singularities -- 6.7 Separatrices: Dicriticalness and Existence -- 6.8 Holonomy and Analytic Classification -- 6.8.1 Holonomy of Irreducible Singularities -- 6.8.2 Holonomy and Analytic Classification of Irreducible Singularities -- 6.9 Examples -- 6.10 Exercises -- 7 Holomorphic First Integrals -- 7.1 Mattei-Moussu Theorem.
7.2 Groups of Germs of Holomorphic Diffeomorphisms -- 7.3 Irreducible Singularities -- 7.4 The Case of a Single Blow-up -- 7.5 The General Case -- 7.6 Exercises -- 8 Dynamics of a Local Diffeomorphism -- 8.1 Hyperbolic Case -- 8.2 Parabolic Case -- 8.3 Elliptic Case -- 8.4 Exercises -- 9 Foliations on Complex Projective Spaces -- 9.1 The Complex Projective Plane and Foliations -- 9.2 The Theorem of Darboux-Jouanolou -- 9.3 Foliations Given by Closed 1-Forms -- 9.4 Riccati Foliations -- 9.5 Examples of Foliations on C P(2) -- 9.6 Example of an Action of a Low-dimensional Lie Algebra -- 9.7 A Family of Foliations on C P(3) Not Coming from Plane Foliations -- 9.8 Exercises -- 10 Foliations with Algebraic Limit Sets -- 10.1 Limit Sets of Foliations -- 10.2 Groups of Germs of Diffeomorphisms with Finite Limit Set -- 10.3 Virtual Holonomy Groups -- 10.4 Construction of Closed Meromorphic Forms -- 10.5 The Linearization Theorem -- 10.6 Examples -- 10.7 Exercises -- 11 Some Modern Questions -- 11.1 Holomorphic Flows on Stein Spaces -- 11.1.1 Suzuki's Theory -- 11.1.2 Proof of the Global Linearization Theorem -- 11.2 Real Transverse Sections of Holomorphic Foliations -- 11.3 Non-trivial Minimal Sets of Holomorphic Foliations -- 11.4 Transversely Homogeneous Holomorphic Foliations -- 11.4.1 Transversely Lie Foliations -- 11.5 Transversely Affine Foliations -- 11.6 Transversely Projective Foliations -- 11.6.1 Development of a Transversely Projective Foliation-Touzet's Work -- 11.6.2 Projective Structures and Differential Forms -- Proof of Proposition 11.6.5 -- Classification of Projective Foliations: Moderate Growth on Projective Manifolds -- 12 Miscellaneous Exercises and Some Open Questions -- 12.1 Miscellaneous Exercises -- 12.2 Some Open Questions -- Bibliography -- Index. |
| Record Nr. | UNINA-9910512178803321 |
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Scárdua Bruno
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Index theory of elliptic operators, foliations, and operator algebras : proceedings of AMS Special Sessions, held January 7, 1986 and April 11, 1986 / / Jerome Kaminker, Kenneth C. Millett, and Claude Schochet, editors
| Index theory of elliptic operators, foliations, and operator algebras : proceedings of AMS Special Sessions, held January 7, 1986 and April 11, 1986 / / Jerome Kaminker, Kenneth C. Millett, and Claude Schochet, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
| Descrizione fisica | 1 online resource (333 p.) |
| Disciplina | 515.7/242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theory (Mathematics)
Elliptic operators Foliations (Mathematics) Operator algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7659-7
0-8218-5077-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Preface""; ""The theory of levels""; ""Toeplitz operators and the eta invariant: the case of S1""; ""Sur la Conjecture de Novikov""; ""A new proof of the K-amenability of SU(1, 1)""; ""Some interesting group actions""; ""A relation between index and exotic classes""; ""The Universal Coefficient Theorem for equivariant K-theory of real and complex C*-algebras""; ""Equivariant K-theory for proper actions and C*-algebras""; ""Equivariant K-theory for proper actions II: some cases in which finite dimensional bundles suffice""
""Operator algebras and index theory on non-compact manifolds""""K-theory of group C*-algebras, foliation algebras and crossed products""; ""Preface""; ""1. Group C *-algebras and crossed products""; ""2. Foliation C *-algebras""; ""3. K-theory of C *-algebras""; ""4. The Kasparov KK-functor""; ""5. Batt periodicity revisited""; ""6. The big picture""; ""Selected references""; ""Non-commutative CW-complexes"" |
| Record Nr. | UNINA-9910480476303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Index theory of elliptic operators, foliations, and operator algebras : proceedings of AMS Special Sessions, held January 7, 1986 and April 11, 1986 / / Jerome Kaminker, Kenneth C. Millett, and Claude Schochet, editors
| Index theory of elliptic operators, foliations, and operator algebras : proceedings of AMS Special Sessions, held January 7, 1986 and April 11, 1986 / / Jerome Kaminker, Kenneth C. Millett, and Claude Schochet, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
| Descrizione fisica | 1 online resource (333 p.) |
| Disciplina | 515.7/242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theory (Mathematics)
Elliptic operators Foliations (Mathematics) Operator algebras |
| ISBN |
0-8218-7659-7
0-8218-5077-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents -- Preface -- The theory of levels -- Toeplitz operators and the eta invariant: the case of S1 -- Sur la Conjecture de Novikov -- A new proof of the K-amenability of SU(1, 1) -- Some interesting group actions -- A relation between index and exotic classes -- The Universal Coefficient Theorem for equivariant K-theory of real and complex C*-algebras -- Equivariant K-theory for proper actions and C*-algebras -- Equivariant K-theory for proper actions II: some cases in which finite dimensional bundles suffice -- Operator algebras and index theory on non-compact manifolds -- K-theory of group C*-algebras, foliation algebras and crossed products -- Preface -- 1. Group C *-algebras and crossed products -- 2. Foliation C *-algebras -- 3. K-theory of C *-algebras -- 4. The Kasparov KK-functor -- 5. Batt periodicity revisited -- 6. The big picture -- Selected references -- Non-commutative CW-complexes. |
| Record Nr. | UNINA-9910788785503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Index theory of elliptic operators, foliations, and operator algebras : proceedings of AMS Special Sessions, held January 7, 1986 and April 11, 1986 / / Jerome Kaminker, Kenneth C. Millett, and Claude Schochet, editors
| Index theory of elliptic operators, foliations, and operator algebras : proceedings of AMS Special Sessions, held January 7, 1986 and April 11, 1986 / / Jerome Kaminker, Kenneth C. Millett, and Claude Schochet, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
| Descrizione fisica | 1 online resource (333 p.) |
| Disciplina | 515.7/242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theory (Mathematics)
Elliptic operators Foliations (Mathematics) Operator algebras |
| ISBN |
0-8218-7659-7
0-8218-5077-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents -- Preface -- The theory of levels -- Toeplitz operators and the eta invariant: the case of S1 -- Sur la Conjecture de Novikov -- A new proof of the K-amenability of SU(1, 1) -- Some interesting group actions -- A relation between index and exotic classes -- The Universal Coefficient Theorem for equivariant K-theory of real and complex C*-algebras -- Equivariant K-theory for proper actions and C*-algebras -- Equivariant K-theory for proper actions II: some cases in which finite dimensional bundles suffice -- Operator algebras and index theory on non-compact manifolds -- K-theory of group C*-algebras, foliation algebras and crossed products -- Preface -- 1. Group C *-algebras and crossed products -- 2. Foliation C *-algebras -- 3. K-theory of C *-algebras -- 4. The Kasparov KK-functor -- 5. Batt periodicity revisited -- 6. The big picture -- Selected references -- Non-commutative CW-complexes. |
| Record Nr. | UNINA-9910818824503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Invariant manifolds / / M. W. Hirsch, C. C. Pugh, M. Shub
| Invariant manifolds / / M. W. Hirsch, C. C. Pugh, M. Shub |
| Autore | Hirsch Morris W. <1933-> |
| Edizione | [1st ed. 1977.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1977] |
| Descrizione fisica | 1 online resource (VI, 150 p.) |
| Disciplina | 514.72 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Foliations (Mathematics)
Invariant manifolds |
| ISBN | 3-540-37382-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The linear theory of normal hyperbolicity -- The Cr section theorem and lipschitz jets -- The local theory of normally hyperbolic, invariant, compact manifolds -- Pseudo hyperbolicity and plaque families -- Center manifolds -- Noncompactness and uniformity -- Forced smoothness of i: V ? M -- Branched laminations -- Normally hyperbolic foliations and laminations -- Local product structure and local stability -- Equivariant fibrations and nonwandering sets. |
| Record Nr. | UNISA-996466655003316 |
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Hirsch Morris W. <1933->
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Laminations and foliations in dynamics, geometry and topology : proceedings of the Conference on Laminations and Foliations in Dynamics, Geometry and Topology, May 18-24, 1998, SUNY at Stony Brook / / Mikhail Lyubich, John W. Milnor, Yair N. Minsky, editors
| Laminations and foliations in dynamics, geometry and topology : proceedings of the Conference on Laminations and Foliations in Dynamics, Geometry and Topology, May 18-24, 1998, SUNY at Stony Brook / / Mikhail Lyubich, John W. Milnor, Yair N. Minsky, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina | 514/.72 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Foliations (Mathematics)
Geometry, Differential |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7859-X
0-8218-5605-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Geodesic laminations on surfaces""; ""Part I. The dynamical viewpoint""; ""Definitions and first properties""; ""Examples of geodesic laminations""; ""The topology of geodesic laminations""; ""The higher dimensional case""; ""A more explicit example""; ""Local properties of geodesic laminations""; ""Transverse structures""; ""Part II. The topological viewpoint""; ""The topology and piecewise linear structure of ML(S)""; ""Change of metric""; ""The length function""; ""Tangent vectors to ML(S)""; ""The derivative of the length function""
""Part III. The geometric viewpoint""""The convex core of a hyperbolic 3â€?manifold""; ""Pleated surfaces in hyperbolic 3â€?manifolds""; ""Variations of the geometry of convex cores""; ""Rotation angles, bending cocycles and Thurston's intersection form""; ""References""; ""Index""; ""Dicritical singularities of holomorphic vector fields""; ""Dynamics of P2 (Examples)""; ""1. Introduction""; ""2. Attractors""; ""2.1 Trapping region""; ""2.2 The map Î?""; ""2.3 Non-Algebraicity of A""; ""2.4 Subhyperbolicity of attractors"" ""3. When the compact set of points with bounded orbit is disjoint from the critical set""""3.1 J = P2""; ""3.2 Support of Î?""; ""4. Isolated repelling points""; ""4.1 Isolated repelling orbits""; ""4.2 The compact set K of points with bounded orbit""; ""5. Examples of endomorphisms such that Supp Î? = Julia set""; ""3 lectures on foliations and laminations on 3-manifolds""; ""Rational laminations of complex polynomials""; ""Actions of discrete groups on complex projective spaces""; ""Dynamics of singular holomorphic foliations on the complex projective plane""; ""Preface""; ""Introduction"" ""1. Singular Holomorphic Foliations by Curves""""2. The Monodromy Group of a Leaf""; ""3. Density and Ergodicity Theorems""; ""4. Non-Trivial Minimal Sets""; ""References"" |
| Record Nr. | UNINA-9910480309303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Laminations and foliations in dynamics, geometry and topology : proceedings of the Conference on Laminations and Foliations in Dynamics, Geometry and Topology, May 18-24, 1998, SUNY at Stony Brook / / Mikhail Lyubich, John W. Milnor, Yair N. Minsky, editors
| Laminations and foliations in dynamics, geometry and topology : proceedings of the Conference on Laminations and Foliations in Dynamics, Geometry and Topology, May 18-24, 1998, SUNY at Stony Brook / / Mikhail Lyubich, John W. Milnor, Yair N. Minsky, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina | 514/.72 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Foliations (Mathematics)
Geometry, Differential |
| ISBN |
0-8218-7859-X
0-8218-5605-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Geodesic laminations on surfaces""; ""Part I. The dynamical viewpoint""; ""Definitions and first properties""; ""Examples of geodesic laminations""; ""The topology of geodesic laminations""; ""The higher dimensional case""; ""A more explicit example""; ""Local properties of geodesic laminations""; ""Transverse structures""; ""Part II. The topological viewpoint""; ""The topology and piecewise linear structure of ML(S)""; ""Change of metric""; ""The length function""; ""Tangent vectors to ML(S)""; ""The derivative of the length function""
""Part III. The geometric viewpoint""""The convex core of a hyperbolic 3â€?manifold""; ""Pleated surfaces in hyperbolic 3â€?manifolds""; ""Variations of the geometry of convex cores""; ""Rotation angles, bending cocycles and Thurston's intersection form""; ""References""; ""Index""; ""Dicritical singularities of holomorphic vector fields""; ""Dynamics of P2 (Examples)""; ""1. Introduction""; ""2. Attractors""; ""2.1 Trapping region""; ""2.2 The map Î?""; ""2.3 Non-Algebraicity of A""; ""2.4 Subhyperbolicity of attractors"" ""3. When the compact set of points with bounded orbit is disjoint from the critical set""""3.1 J = P2""; ""3.2 Support of Î?""; ""4. Isolated repelling points""; ""4.1 Isolated repelling orbits""; ""4.2 The compact set K of points with bounded orbit""; ""5. Examples of endomorphisms such that Supp Î? = Julia set""; ""3 lectures on foliations and laminations on 3-manifolds""; ""Rational laminations of complex polynomials""; ""Actions of discrete groups on complex projective spaces""; ""Dynamics of singular holomorphic foliations on the complex projective plane""; ""Preface""; ""Introduction"" ""1. Singular Holomorphic Foliations by Curves""""2. The Monodromy Group of a Leaf""; ""3. Density and Ergodicity Theorems""; ""4. Non-Trivial Minimal Sets""; ""References"" |
| Record Nr. | UNINA-9910788654603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
