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Blow-up theory for elliptic PDEs in Riemannian geometry [[electronic resource] /] / Olivier Druet, Emmanuel Hebey, Frédéric Robert
Blow-up theory for elliptic PDEs in Riemannian geometry [[electronic resource] /] / Olivier Druet, Emmanuel Hebey, Frédéric Robert
Autore Druet Olivier <1976->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, c2004
Descrizione fisica 1 online resource (227 p.)
Disciplina 515/.353
Altri autori (Persone) HebeyEmmanuel <1964->
RobertFrédéric <1974->
Collana Mathematical Notes
Soggetto topico Calculus of variations
Differential equations, Nonlinear
Geometry, Riemannian
Soggetto genere / forma Electronic books.
ISBN 1-282-08723-1
1-282-93537-2
9786612935374
9786612087233
1-4008-2616-0
Classificazione 31.45
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Preface -- Chapter 1. Background Material -- Chapter 2. The Model Equations -- Chapter 3. Blow-up Theory in Sobolev Spaces -- Chapter 4. Exhaustion and Weak Pointwise Estimates -- Chapter 5. Asymptotics When the Energy Is of Minimal Type -- Chapter 6. Asymptotics When the Energy Is Arbitrary -- Appendix A. The Green's Function on Compact Manifolds -- Appendix B. Coercivity Is a Necessary Condition -- Bibliography
Record Nr. UNINA-9910454461003321
Druet Olivier <1976->  
Princeton, N.J., : Princeton University Press, c2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Curvature and homology [[electronic resource] /] / Samuel I. Goldberg
Curvature and homology [[electronic resource] /] / Samuel I. Goldberg
Autore Goldberg Samuel I
Pubbl/distr/stampa New York, : Dover Publications, 1982
Descrizione fisica 1 online resource (335 p.)
Disciplina 516.3/62
Collana Pure and applied mathematics
Soggetto topico Curvature
Homology theory
Geometry, Riemannian
Soggetto genere / forma Electronic books.
ISBN 1-281-76631-3
9786611766313
0-08-087323-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Curvature and Homology; Copyright Page; Contents; Preface; Notation Index; Introduction; CHAPTER I. RIEMANNIAN MANIFOLDS; 1.1 Differentiable manifolds; 1.2 Tensors; 1.3 Tensor bundles; 1.4 Differential forms; 1.5 Submanifolds; 1.6 Integration of differential forms; 1.7 Affine connections; 1.8 Bundle of frames; 1.9 Riemannian geometry; 1.10 Sectional curvature; 1.11 Geodesic coordinates; Exercises; CHAPTER II. TOPOLOGY OF DIFFERENTIABLE MANI- FOLDS; 2.1 Complexes; 2.2 Singular homology; 2.3 Stokes' theorem; 2.4 De Rham cohomology; 2.5 Periods
2.6 Decomposition theorem for compact Riemann surfaces2.7 The star isomorphism; 2.8 Harmonic forms. The operators d and ?; 2.9 Orthogonality relations; 2.10 Decomposition theorem for compact Riemannian manifolds; 2.11 Fundamental theorem; 2.12 Explicit expressions for d, d and ?; Exercises; CHAPTER III. CURVATURE AND HOMOLOGY OF RIEMANNIAN MANIFOLDS; 3.1 Some contributions of S. Bochner; 3.2 Curvature and betti numbers; 3.3 Derivations in a graded algebra; 3.4 Infinitesimal transformations; 3.5 The derivation ?(X); 3.6 Lie transformation groups; 3.7 Conformal transformations
3.8 Conformal transformations (continued)3.9 Conformally flat manifolds; 3.10 Affline collineations; 3.11 Projective transformations; Exercises; CHAPTER IV. COMPACT LIE GROUPS; 4.1 The Grassman algebra of a Lie group; 4.2 Invariant differential forms; 4.3 Local geometry of a compact semi-simple Lie group; 4.4 Harmonic forms on a compact semi-simple Lie group; 4.5 Curvature and betti numbers of a compact semi-simple Lie group G; 4.6 Determination of the betti numbers of the simple Lie groups; Exercises; CHAPTER V. COMPLEX MANIFOLDS; 5.1 Complex manifolds; 5.2 Almost complex manifolds
5.3 Local hermitian geometry5.4 The operators L and A; 5.5 Kaehler manifolds; 5.6 Topology of a Kaehler manifold; 5.7 Effective forms on an hermitian manifold; 5.8 Holomorphic maps. Induced structures; 5.9 Examples of Kaehler manifolds; Exercises; CHAPTER VI. CURVATURE AND HOMOLOGY OF KAEHLER MANIFOLDS; 6.1 Holomorphic curvature; 6.2 The effect of positive Ricci curvature; 6.3 Deviation from constant holomorphic curvature; 6.4 Kaehler-Einstein spaces; 6.5 Holomorphic tensor fields; 6.6 Complex parallelisable manifolds; 6.7 Zero curvature; 6.8 Compact complex parallelisable manifolds
6.9 A topological characterization of compact complex parallelisable manifolds6.10 d"-cohomology; 6.11 Complex imbedding; 6.12 Euler characteristic; 6.13 The effect of sufficiently many holomorphic differentials; 6.14 The vanishing theorems of Kodaira; Exercises; CHAPTER VII. GROUPS OF TRANSFORMATIONS OF KAEHLER AND ALMOST KAEHLER MANIFOLDS; 7.1 Infinitesimal holomorphic transformations; 7.2 Groups of holomorphic transformations; 7.3 Kaehler manifolds with constant Ricci scalar curvature; 7.4 A theorem on transitive groups of holomorphic transformations
7.5 Infinitesimal conformal transformations. Automorphisms
Record Nr. UNINA-9910307293003321
Goldberg Samuel I  
New York, : Dover Publications, 1982
Materiale a stampa
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Differential geometry and relativity theory : an introduction / Richard L. Faber
Differential geometry and relativity theory : an introduction / Richard L. Faber
Autore Faber, Richard L.
Pubbl/distr/stampa New York : M. Dekker, c1983
Descrizione fisica x, 255 p. : ill. ; 24 cm
Disciplina 530.1/1/0151636
Collana Monographs and textbooks in pure and applied mathematics ; 76
Soggetto topico Relativity (Physics)
Geometry, Differential
Geometry, Riemannian
ISBN 9780824717490
Classificazione LC QC173.55
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-b14391065
Faber, Richard L.  
New York : M. Dekker, c1983
Materiale a stampa
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Eigenvalues in Riemannian geometry [[electronic resource] /] / Isaac Chavel ; with a chapter by Burton Randol, with appendix by Jozef Dodziuk
Eigenvalues in Riemannian geometry [[electronic resource] /] / Isaac Chavel ; with a chapter by Burton Randol, with appendix by Jozef Dodziuk
Autore Chavel Isaac
Edizione [2nd ed.]
Pubbl/distr/stampa Orlando, : Academic Press, 1984
Descrizione fisica 1 online resource (379 p.)
Disciplina 510 s 516.92 19
510 s516.92
516.373
Collana Pure and applied mathematics
Soggetto topico Differential equations, Partial
Eigenvalues
Geometry, Riemannian
Soggetto genere / forma Electronic books.
ISBN 1-281-76328-4
9786611763282
0-08-087434-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Eigenvalues in Riemannian Geometry; Copyright Page; Contents; Preface; Chapter I. The Laplacian; 1. Definitions and Preliminaries; 2. Green's Formulas; 3. Basic Facts for Eigenvalue Problems; 4. The Wave and Heat Equations; 5. Rayleigh and Max-Min Methods; Chapter II. The Basic Examples; 1. Some Generalities; 2. Tori; 3. Weyl's Formula for Bounded Domains in Rn; 4. Spheres and Real Projective Spaces; 5. Disks in Constant Curvature Space Forms; Chapter III. λ1 and Curvature; 1. Geodesics and Curvature; 2. Comparison Theorems for Sectional Curvature Bounded from Above
3. Comparison Theorems for Ricci Curvature Bounded from Below4. Obata and Toponogov Theorems; Chapter IV. Isoperimetric Inequalities; 1. The Co-Area Formula; 2. The Faber-Krahn Inequality; 3. The Cheeger, Sobolev, and Isoperimetric Constants; 4. The Sobolev Constant and Eigenvalue, Eigenfunction, Estimates; 5 .The Constants and Estimates for the Closed Eigenvalue Problem; Chapter V. Eigenvalues and the Kinematic Measure; 1. The Analytic Inequality; 2. M. Berger's Isoembolic Inequality; 3. Cheeger and Isoperimetric Constants, and the Kinematic Measure
Chapter VI. The Heat Kernel for Compact Manifolds1. Duhamel's Principle and Its Consequences; 2. The Heat Equation on R"; 3. The Minakshisundaram-Pleijel Recursion Formulas; 4. Existence of the Heat Kernel; 4. Upper Bounds for the Heat Kernel; Chapter VII. The Dirichlet Heat Kernel for Regular Domains; 1. Preliminaries; 2. The Dirichlet Heat Kernel for Regular Domains; 3. Duhamel's Principle; Chapter VIII. The Heat Kernel for Noncompact Manifolds; 1. The Maximum Principle, and Uniqueness Theorems, for the Heat Operator; 2. The Heat Kernel for Noncompact Manifolds
3. Comparison Theorems for Heat KernelsChapter IX. Topological Perturbations with Negligible Effect; 1. Statement and Discussion of the Results; 2. Proof of Theorems 1-6; 3. Using Rayleigh's Characterization of Eigenvalues; 4. The Mathematics of Crushed Ice; Chapter X. Surfaces of Constant Negative Curvature; 1. Geometry of the Hyperbolic Plane; 2. The Heat Kernel of the Hyperbolic Plane; 3. Löbell Surfaces and the Estimates of P. Buser; 4. Low Eigenvalues and Short Geodesics; 4. Low Eigenvalues and Short Geodesics; 5. The Upper Half-Space Model of Hyperbolic Space
Chapter XI. The Selberg Trace Formula1. Preliminaries; 2. The Pretrace Formula; 3. Applications of the Pretrace Formula; 5. Applications of the Trace Formula; 6. Concluding Remarks; Chapter XII. Miscellanea; 1. Volumes of Disks and Spheres; 2. The Fourier Transform; 3. The Poisson Summation Formula; 4. The Fourier Transform and the Heat Equation; 5. Eigenfunctions on Spheres and Hyperbolic Space; 6. Minimal Submanifolds of Euclidean Spaces and Spheres; 7. Normalization of Geometric Data; 8. Geodesic Coordinates; 9. The Levy-Gromov Isopenmetric Inequality
10. Heat Conduction on the Euclidean Upper Half-Space
Record Nr. UNINA-9910307298403321
Chavel Isaac  
Orlando, : Academic Press, 1984
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Eigenvalues in Riemannian geometry / Isaac Chavel ; with a chapter by Burton Randol, with appendix by Jozef Dodziuk
Eigenvalues in Riemannian geometry / Isaac Chavel ; with a chapter by Burton Randol, with appendix by Jozef Dodziuk
Autore Chavel, Isaac
Pubbl/distr/stampa Orlando : Academic Press, 1984
Descrizione fisica xiv, 362 p. : ill. ; 24 cm
Disciplina 516.92
Collana Pure and applied mathematics. A series of monographs & textbooks [Academic Press], 0079-8169 ; 115
Soggetto topico Geometry, Riemannian
Differential equations, Partial
Eigenvalues
ISBN 0121706400
Classificazione LC QA3.P8
AMS 53C20
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-b1334612x
Chavel, Isaac  
Orlando : Academic Press, 1984
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Einstein Manifolds : reprint of the 1987 edition, with 22 figures / Arthur L. Besse
Einstein Manifolds : reprint of the 1987 edition, with 22 figures / Arthur L. Besse
Autore Besse, Arthur L.
Edizione ["Reprint of the 1987 Edition"]
Pubbl/distr/stampa Berlin ; New York : Springer, c2008
Descrizione fisica xii, 516 p. : ill.; 24 cm
Disciplina 530.11
Collana Classics in mathematics, 1431-0821
Soggetto topico Geometry, Riemannian
Einstein manifolds
Relativity (Physics)
ISBN 9783540741206
Classificazione AMS 53C
AMS 53C25
AMS 53C30
AMS 53C55
AMS 83C
AMS 83E50
LC QA649.B49
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-b13714144
Besse, Arthur L.  
Berlin ; New York : Springer, c2008
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Elliptic integrable systems : a comprehensive geometric interpretation / / Idrisse Khemar
Elliptic integrable systems : a comprehensive geometric interpretation / / Idrisse Khemar
Autore Khemar Idrisse <1979->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2012
Descrizione fisica 1 online resource (215 p.)
Disciplina 516.3/73
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometry, Riemannian
Hermitian structures
Soggetto genere / forma Electronic books.
ISBN 0-8218-9114-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""0.1. The primitive systems""; ""0.2. The determined case""; ""0.2.1. The minimal determined system""; ""0.2.2. The general structure of the maximal determined case""; ""0.2.3. The model system in the even case""; ""0.2.4. The model system in the odd case""; ""0.2.5. The coupled model system""; ""0.2.6. The general maximal determined odd system (k'=2k+1,m=2k)""; ""0.2.7. The general maximal determined even system (k'=2k,m=2k-1)""; ""0.2.8. The intermediate determined systems""; ""0.3. The underdetermined case""; ""0.4. In the twistor space""
""0.5. Related subjects and works, and motivations""""0.5.1. Relations with surface theory""; ""0.5.2. Relations with mathematical physics""; ""0.5.3. Relations of F-stringy harmonicity and supersymmetry""; ""Notation, conventions and general definitions""; ""0.6. List of notational conventions and organisation of the paper""; ""0.7. Almost complex geometry""; ""Chapter 1. Invariant connections on reductive homogeneous spaces""; ""1.1. Linear isotropy representation""; ""1.2. Reductive homogeneous space""; ""1.3. The (canonical) invariant connection""; ""1.4. Associated covariant derivative""
""1.5. G-invariant linear connections in terms of equivariant bilinear maps""""1.6. A family of connections on the reductive space M""; ""1.7. Differentiation in End(T(G/H))""; ""Chapter 2. m-th elliptic integrable system associated to a k'-symmetric space""; ""2.0.1. Definition of G (even when does not integrate in G)""; ""2.1. Finite order Lie algebra automorphisms""; ""2.1.1. The even case: k'=2k""; ""2.1.2. The odd case: k'=2k+1""; ""2.2. Definitions and general properties of the m-th elliptic system""; ""2.2.1. Definitions""; ""2.2.2. The geometric solution""
""2.2.3. The increasing sequence of spaces of solutions: (S(m))mN""""2.2.4. The decreasing sequence (Syst(m,p))p/k'""; ""2.3. The minimal determined case""; ""2.3.1. The even minimal determined case: k'=2k and m=k""; ""2.3.2. The minimal determined odd case""; ""2.4. The maximal determined case""; ""Adding holomorphicity conditions; the intermediate determined systems""; ""2.5. The underdetermined case""; ""2.6. Examples""; ""2.6.1. The trivial case: the 0-th elliptic system associated to a Lie group""; ""2.6.2. Even determined case""; ""2.6.3. Primitive case""
""2.6.4. Underdetermined case""""2.7. Bibliographical remarks and summary of the results""; ""Chapter 3. Finite order isometries and twistor spaces""; ""3.1. Isometries of order 2k with no eigenvalues =1""; ""3.1.1. The set of connected components in the general case""; ""3.1.2. Study of Ad J, for JZ2ka(R2n)""; ""3.1.3. Study of Ad Jj""; ""3.2. Isometries of order 2k+1 with no eigenvalue =1""; ""3.3. The effect of the power maps on the finite order isometries""; ""3.4. The twistor spaces of a Riemannian manifolds and its reductions""
""3.5. Return to an order 2k automorphism 2mu-:6muplus1mugg""
Record Nr. UNINA-9910480412603321
Khemar Idrisse <1979->  
Providence, Rhode Island : , : American Mathematical Society, , 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Explorations in complex and Riemannian geometry : a volume dedicated to Robert E. Greene / / John Bland, Kang-Tae Kim, Steven G. Krantz, editors
Explorations in complex and Riemannian geometry : a volume dedicated to Robert E. Greene / / John Bland, Kang-Tae Kim, Steven G. Krantz, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2003]
Descrizione fisica 1 online resource (338 p.)
Disciplina 516.3/6
Collana Contemporary mathematics
Soggetto topico Geometry, Differential
Functions of several complex variables
Geometry, Riemannian
Soggetto genere / forma Electronic books.
ISBN 0-8218-7922-7
0-8218-3273-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Bergman kernels related to Hermitian line bundles over compact complex manifolds""; ""A gentle introduction to points of finite type on real hypersurfaces""; ""The moduli space of 2-step nilpotent Lie algebras of type (p, q)""; ""The homotopy principle in complex analysis: A survey""; ""Finiteness theorems in riemannian geometry""; ""Generalized Toponogov's theorem for manifolds with radial curvature bounded below""; ""The global isometric embedding problem""; ""The Bergman metric invariants and their boundary behavior""
""Natural connections in almost complex manifolds""""The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type""; ""Subelliptic estimates and scaling in the â??-Neumann problem""; ""Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups""; ""On the extension of L2 holomorphic functions VI â€? a limiting case""; ""Variations on a theme of Synge""; ""Mappings between real submanifolds in complex space""; ""Harmonic analysis on toric varieties""; ""On complex manifolds with noncompact automorphism groups""
Record Nr. UNINA-9910478905603321
Providence, Rhode Island : , : American Mathematical Society, , [2003]
Materiale a stampa
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The exponential map at an isolated singular point / / David A. Stone
The exponential map at an isolated singular point / / David A. Stone
Autore Stone David A (David Aurel)
Pubbl/distr/stampa Providence, R.I., USA : , : American Mathematical Society, , [1982]
Descrizione fisica 1 online resource (192 p.)
Disciplina 510 s
516.3/73
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometry, Riemannian
Singularities (Mathematics)
Mappings (Mathematics)
Soggetto genere / forma Electronic books.
ISBN 1-4704-0663-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Covering homotopies""""One-parameter families of geodesics""; ""Relationship with Jacobi fields""; ""Chapter 6 The exponential map at P""; ""Introduction""; ""The existence of exp[sub(p)]""; ""The structure of T[sub(p)]M""; ""Chapter 7 Affine complex analytic hypersurfaces""; ""Introduction""; ""Hypersurfaces of arbitrary dimension""; ""One-dimensional hypersurfaces""
Record Nr. UNINA-9910480709303321
Stone David A (David Aurel)  
Providence, R.I., USA : , : American Mathematical Society, , [1982]
Materiale a stampa
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Families of Riemann surfaces and Weil-Petersson geometry / Scott A. Wolpert
Families of Riemann surfaces and Weil-Petersson geometry / Scott A. Wolpert
Autore Wolpert, Scott A.
Pubbl/distr/stampa Providence, R. I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2010
Descrizione fisica vii, 118 p. : ill. ; 26 cm
Disciplina 515.93
Collana CBMS regional conference series in mathematics, 0160-7642 ; 113
Soggetto topico Riemann surfaces
Teichmèuller spaces
Hyperbolic groups
Ergodic theory
Geometry, Riemannian
ISBN 9780821849866
Classificazione AMS 20F67
AMS 30F60
AMS 32G15
AMS 37F30
LC QA337.W65
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-b14079343
Wolpert, Scott A.  
Providence, R. I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2010
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