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Dynamics on Lorentz manifolds [[electronic resource] /] / Scot Adams
| Dynamics on Lorentz manifolds [[electronic resource] /] / Scot Adams |
| Autore | Adams Scot |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (416 p.) |
| Disciplina | 514.3 |
| Soggetto topico |
Manifolds (Mathematics)
Topology |
| ISBN |
1-281-95624-4
9786611956240 981-281-056-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Introduction History and Outline; 1.1 Lorentz manifolds and relativity; 1.2 Symmetries of Lorentz manifolds; 1.3 Outline of succeeding chapters; 1.4 Notation; 1.5 Acknowledgements; Chapter 2 Basic Results and Definitions; 2.1 Some set-theoretic notions; 2.2 Some group-theoretic notions; 2.3 Some topological notions; 2.4 Some notions from linear algebra; 2.5 Matrix concentration lemmas; 2.6 First results on expansive sequences; 2.7 Topological groups; 2.8 Discrete groups; 2.9 Proper actions; 2.10 Bilinear and quadratic forms; 2.11 Root systems
2.12 Minkowski forms - basic definitionsChapter 3 Basic Differential Topology; 3.1 Some differential topological notions; 3.2 Inheritability of continuity and smoothness to leanike submanifolds; 3.3 Definition of prefoliation and foliation; 3.4 Preliminary results to the Frobenius Theorem; 3.5 Uniqueness in the Frobenius Theorem; 3.6 Passage from local to global in the Frobenius Theorem; 3.7 The Frobenius Theorem; 3.8 Potential submersions; 3.9 Lorentz metrics - basic definitions; Chapter 4 Basic Lie Theoretic Results; 4.1 Some Lie theoretic definitions and notation 4.2 Dynamical consequences of the Frobenius Theorem4.3 exp Ad and ad; 4.4 The Lie group Lie algebra correspondence; 4.5 Some facts about Lie subgroups; 4.6 The Lie algebra of [AB]; 4.7 Lie groups and Lie algebras from bilinear and quadratic forms; 4.8 Abelian Lie groups; 4.9 Miscellaneous results; 4.10 Generalities on semisimple groups and algebras; 4.11 Real Jordan decomposition; 4.12 Consequences of results on real Jordan decomposition; 4.13 Generalities on algebraic groups; 4.14 Generalities on nilpotent groups and algebras; 4.15 Generalities on the nilradical 4.16 Relationships between representation theoriesChapter 5 More Lie Theory; 5.1 Connection-preserving diffeomorphisms form a Lie group; 5.2 The isometry group of a pseudoRiemannian manifold is a Lie group; 5.3 More results on expansive sequences; 5.4 Lie groups densely embedded in other Lie groups; 5.5 Generalities on the Levi decomposition; 5.6 Large normalizers and centralizers; 5.7 Representation theory; Chapter 6 Minkowski Linear Algebra; 6.1 Notations for important elements and Lie subalgebras of so(Qd); 6.2 Linear algebra of Minkowski vector spaces; 6.3 Basic calculations 6.4 Embeddings of Lorentz Lie algebrasChapter 7 Basic Dynamical Results; 7.1 Kowalsky's Lemma; 7.2 Higher jets of vector fields and metrics - notation; 7.3 Matrix realizations of jets and calculus on jets; 7.4 Miscellaneous results; 7.5 A basic collection of rigidity results; 7.6 Strongly lightlike and nontimelike vectors; 7.7 Basic results on degenerate orbits; 7.8 More on strongly lightlike and nontimelike vectors; 7.9 Nonproperness and cocompact subgroups; 7.10 Kowalsky subsets; 7.11 Types of chaotic actions; 7.12 Induction of actions: Definition; 7.13 Induction of actions: Basic results 7.14 Riemannian dynamics |
| Record Nr. | UNINA-9910826713803321 |
Adams Scot
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| River Edge, N.J., : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Dynamics on Lorentz manifolds / Scot Adams
| Dynamics on Lorentz manifolds / Scot Adams |
| Autore | Adams, Scot |
| Pubbl/distr/stampa | River Edge, N. J. : World Scientific, c2001 |
| Descrizione fisica | xiii, 402 p. ; 23 cm |
| Disciplina | 514.3 |
| Soggetto topico | Manifolds (Mathematics) |
| ISBN | 9810243820 |
| Classificazione |
AMS 53C50
LC QA613.A33 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction, history and outline ; Basic results and definitions ; Basic differential topology ; Basic lie theoretic results ; More lie theory ; Minkowski linear algebra ; Basic dynamical results ; Examples of actions on compact Lorentz manifolds ; Examples of nonproper actions ; Semisimple groups admitting a nonproper action ; Groups with action on a compact Lorentz manifold ; The isometry group of a compact Lorentz manifold ; Highly symmetric compact Lorentz manifolds ; Locally free orbit nonproper Lorentz actions ; Orbit nonproper Lorentz actions ; The Borel density theorem |
| Record Nr. | UNISALENTO-991000158979707536 |
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Adams, Scot
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| River Edge, N. J. : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Elliptic operators and compact groups / / Michael Francis Atiyah
| Elliptic operators and compact groups / / Michael Francis Atiyah |
| Autore | Atiyah Michael Francis <1929-2019, > |
| Edizione | [1st ed. 1974.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1974] |
| Descrizione fisica | 1 online resource (VIII, 100 p.) |
| Disciplina | 510 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Manifolds (Mathematics)
Differential operators |
| ISBN | 3-540-37811-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Lecture 1: Transversally elliptic operators -- Lecture 2: The index of transversally elliptic operators -- Lecture 3: The excision and multiplicative properties -- Lecture 4: The naturality of the index and the localization theorem -- Lecture 5: The index homomorphism for G = S1 -- Lecture 6: The operators for G = S1 -- Lecture 7: Toral actions with finite isotropy groups -- Lecture 8: The index homomorphism for G = Tn -- Lecture 9: The cohomology formula -- Lecture 10: Applications. |
| Record Nr. | UNISA-996466529703316 |
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Atiyah Michael Francis <1929-2019, >
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1974] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Elliptic theory on singular manifolds / Vladimir E. Nazaikinskii ... [et al.]
| Elliptic theory on singular manifolds / Vladimir E. Nazaikinskii ... [et al.] |
| Pubbl/distr/stampa | Boca Raton : Chapman & Hall/CRC, 2006 |
| Descrizione fisica | xiv, 356 p. : ill. ; 26 cm |
| Disciplina | 515.7242 |
| Altri autori (Persone) | Nazaikinskii, Vladimir E. |
| Collana | Differential and integral equations and their applications ; 7 |
| Soggetto topico |
Elliptic operators
Manifolds (Mathematics) Singularities (Mathematics) |
| ISBN | 1584885203 |
| Classificazione |
AMS 58J20
AMS 58J30 AMS 58J40 LC QA329.42.E55 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000290289707536 |
| Boca Raton : Chapman & Hall/CRC, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn
| Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn |
| Autore | Nadler Sam B. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1972] |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 514/.32 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Metric spaces
Continuity Manifolds (Mathematics) Curves Topological imbeddings |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9923-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""1. INTRODUCTION AND BASIC DEFINITIONS""; ""Definition of half-ray curve and real curve""; ""Structure Theorem for Half-ray Curves""; ""Embedding Theorem for Half-ray Curves""; ""Definition of K[sub(+)] , K_ , and singular sets""; ""Remark 1.1""; ""2. STRUCTURE THEOREMS""; ""Structure Theorem for K[sub(+)] and K_""; ""Structure Theorem for Real Curves""; ""Corollary 2.1""; ""3. PARAMETERIZATION""; ""Parameterization Theorem""; ""4. SOME EXAMPLES OF REAL CURVES""; ""Figure 1 - ""Moby Dick""""; ""Figure 2 (i) and Figure 2 (ii)""; ""Figure 3 - ""Coffee-percolator""""
""Figure 4 - ""Upside-down-elephant""""""Figure 5 - ""Badly-cracked-egg""""; ""Figure 6 - ""Fry-pan-on-a-grill""""; ""Figure 7 - ""Spider-on-a-thread""""; ""5. EMBEDDING""; ""Embedding Theorem for Real Curves""; ""Definition of noose-like chain""; ""Definition of property y""; ""Definition of (Î?, λ)-admissible link with center x[sub(1)]""; ""Definition of ""admissible"" noose-like chain""; ""Definition of admissible component of S, A(S)""; ""Remark 5.1""; ""Definition of standard embedding of â?? in the plane""; ""Lemma 5.6""; ""Non-embeddability Theorem"" ""6. MORE ABOUT EMBEDDINGS OF REAL CURVES""""Definition of standard embedding of M in the plane""; ""Planar Embedding Theorem for Real Curves""; ""Definition of admissible pattern with respect to N[sub(1)] beyond u""; ""Toroidal Embedding Theorem""; ""Two-manifold Embedding Theorem""; ""Problem 6.1""; ""Theorem on Weak Chainability of Planar Real Curves""; ""Problem 6.2""; ""7. THE MORE GENERAL CONDITION OF LOCAL COMPACTNESS""; ""Theorem 7.2""; ""REFERENCES"" |
| Record Nr. | UNINA-9910478898203321 |
|
Nadler Sam B.
|
||
| Providence : , : American Mathematical Society, , [1972] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn
| Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn |
| Autore | Nadler Sam B. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1972] |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 514/.32 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Metric spaces
Continuity Manifolds (Mathematics) Curves Topological imbeddings |
| ISBN | 0-8218-9923-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""1. INTRODUCTION AND BASIC DEFINITIONS""; ""Definition of half-ray curve and real curve""; ""Structure Theorem for Half-ray Curves""; ""Embedding Theorem for Half-ray Curves""; ""Definition of K[sub(+)] , K_ , and singular sets""; ""Remark 1.1""; ""2. STRUCTURE THEOREMS""; ""Structure Theorem for K[sub(+)] and K_""; ""Structure Theorem for Real Curves""; ""Corollary 2.1""; ""3. PARAMETERIZATION""; ""Parameterization Theorem""; ""4. SOME EXAMPLES OF REAL CURVES""; ""Figure 1 - ""Moby Dick""""; ""Figure 2 (i) and Figure 2 (ii)""; ""Figure 3 - ""Coffee-percolator""""
""Figure 4 - ""Upside-down-elephant""""""Figure 5 - ""Badly-cracked-egg""""; ""Figure 6 - ""Fry-pan-on-a-grill""""; ""Figure 7 - ""Spider-on-a-thread""""; ""5. EMBEDDING""; ""Embedding Theorem for Real Curves""; ""Definition of noose-like chain""; ""Definition of property y""; ""Definition of (Î?, λ)-admissible link with center x[sub(1)]""; ""Definition of ""admissible"" noose-like chain""; ""Definition of admissible component of S, A(S)""; ""Remark 5.1""; ""Definition of standard embedding of â?? in the plane""; ""Lemma 5.6""; ""Non-embeddability Theorem"" ""6. MORE ABOUT EMBEDDINGS OF REAL CURVES""""Definition of standard embedding of M in the plane""; ""Planar Embedding Theorem for Real Curves""; ""Definition of admissible pattern with respect to N[sub(1)] beyond u""; ""Toroidal Embedding Theorem""; ""Two-manifold Embedding Theorem""; ""Problem 6.1""; ""Theorem on Weak Chainability of Planar Real Curves""; ""Problem 6.2""; ""7. THE MORE GENERAL CONDITION OF LOCAL COMPACTNESS""; ""Theorem 7.2""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788613703321 |
|
Nadler Sam B.
|
||
| Providence : , : American Mathematical Society, , [1972] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn
| Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn |
| Autore | Nadler Sam B. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1972] |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 514/.32 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Metric spaces
Continuity Manifolds (Mathematics) Curves Topological imbeddings |
| ISBN | 0-8218-9923-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""1. INTRODUCTION AND BASIC DEFINITIONS""; ""Definition of half-ray curve and real curve""; ""Structure Theorem for Half-ray Curves""; ""Embedding Theorem for Half-ray Curves""; ""Definition of K[sub(+)] , K_ , and singular sets""; ""Remark 1.1""; ""2. STRUCTURE THEOREMS""; ""Structure Theorem for K[sub(+)] and K_""; ""Structure Theorem for Real Curves""; ""Corollary 2.1""; ""3. PARAMETERIZATION""; ""Parameterization Theorem""; ""4. SOME EXAMPLES OF REAL CURVES""; ""Figure 1 - ""Moby Dick""""; ""Figure 2 (i) and Figure 2 (ii)""; ""Figure 3 - ""Coffee-percolator""""
""Figure 4 - ""Upside-down-elephant""""""Figure 5 - ""Badly-cracked-egg""""; ""Figure 6 - ""Fry-pan-on-a-grill""""; ""Figure 7 - ""Spider-on-a-thread""""; ""5. EMBEDDING""; ""Embedding Theorem for Real Curves""; ""Definition of noose-like chain""; ""Definition of property y""; ""Definition of (Î?, λ)-admissible link with center x[sub(1)]""; ""Definition of ""admissible"" noose-like chain""; ""Definition of admissible component of S, A(S)""; ""Remark 5.1""; ""Definition of standard embedding of â?? in the plane""; ""Lemma 5.6""; ""Non-embeddability Theorem"" ""6. MORE ABOUT EMBEDDINGS OF REAL CURVES""""Definition of standard embedding of M in the plane""; ""Planar Embedding Theorem for Real Curves""; ""Definition of admissible pattern with respect to N[sub(1)] beyond u""; ""Toroidal Embedding Theorem""; ""Two-manifold Embedding Theorem""; ""Problem 6.1""; ""Theorem on Weak Chainability of Planar Real Curves""; ""Problem 6.2""; ""7. THE MORE GENERAL CONDITION OF LOCAL COMPACTNESS""; ""Theorem 7.2""; ""REFERENCES"" |
| Record Nr. | UNINA-9910827786703321 |
|
Nadler Sam B.
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||
| Providence : , : American Mathematical Society, , [1972] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch
| Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch |
| Autore | Duvall P. F (Paul F.), <1941-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina |
510 s
514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Manifolds (Mathematics)
Topological imbeddings Vector bundles Shape theory (Topology) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0670-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""PART I. EMBEDDING FINITE COVERS INTO BUNDLES""; ""1. Removing singularities of maps""; ""2. Singularities of maps into bundles""; ""3. Embedding covering spaces into bundles""; ""4. The obstruction""; ""PART II. EMBEDDING MANIFOLD-LIKE CONTINUA UP TO SHAPE""; ""5. Applications of Part I to embedding continua up to shape""; ""6. An n-manifold-like compactum which does not embed up to shape in R[sup(2n)]""; ""7. Singularities of coverings of immersions""; ""8. Embedding up to shape manifold-like continua whose factors need not embed""
""9. Embedding double coverings""""10. An example""; ""11. n-manifold-like continua which do not embed up to shape in R[sup(2n)]""; ""REFERENCES"" |
| Record Nr. | UNINA-9910480770303321 |
|
Duvall P. F (Paul F.), <1941->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch
| Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch |
| Autore | Duvall P. F (Paul F.), <1941-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina |
510 s
514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Manifolds (Mathematics)
Topological imbeddings Vector bundles Shape theory (Topology) |
| ISBN | 1-4704-0670-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""PART I. EMBEDDING FINITE COVERS INTO BUNDLES""; ""1. Removing singularities of maps""; ""2. Singularities of maps into bundles""; ""3. Embedding covering spaces into bundles""; ""4. The obstruction""; ""PART II. EMBEDDING MANIFOLD-LIKE CONTINUA UP TO SHAPE""; ""5. Applications of Part I to embedding continua up to shape""; ""6. An n-manifold-like compactum which does not embed up to shape in R[sup(2n)]""; ""7. Singularities of coverings of immersions""; ""8. Embedding up to shape manifold-like continua whose factors need not embed""
""9. Embedding double coverings""""10. An example""; ""11. n-manifold-like continua which do not embed up to shape in R[sup(2n)]""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788897103321 |
|
Duvall P. F (Paul F.), <1941->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch
| Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch |
| Autore | Duvall P. F (Paul F.), <1941-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina |
510 s
514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Manifolds (Mathematics)
Topological imbeddings Vector bundles Shape theory (Topology) |
| ISBN | 1-4704-0670-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""PART I. EMBEDDING FINITE COVERS INTO BUNDLES""; ""1. Removing singularities of maps""; ""2. Singularities of maps into bundles""; ""3. Embedding covering spaces into bundles""; ""4. The obstruction""; ""PART II. EMBEDDING MANIFOLD-LIKE CONTINUA UP TO SHAPE""; ""5. Applications of Part I to embedding continua up to shape""; ""6. An n-manifold-like compactum which does not embed up to shape in R[sup(2n)]""; ""7. Singularities of coverings of immersions""; ""8. Embedding up to shape manifold-like continua whose factors need not embed""
""9. Embedding double coverings""""10. An example""; ""11. n-manifold-like continua which do not embed up to shape in R[sup(2n)]""; ""REFERENCES"" |
| Record Nr. | UNINA-9910827440603321 |
|
Duvall P. F (Paul F.), <1941->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
