Semi-Riemannian geometry : the mathematical language of general relativity / / Stephen C. Newman (University of Alberta, Edmonton, Alberta, Canada) |
Autore | Newman Stephen C. <1952-> |
Edizione | [1st edition] |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , [2019] |
Descrizione fisica | 1 online resource (656 pages) |
Disciplina | 516.373 |
Soggetto topico |
Semi-Riemannian geometry
Geometry, Riemannian Manifolds (Mathematics) Geometry, Differential |
ISBN |
1-119-51755-9
1-119-51756-7 1-119-51754-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910830698703321 |
Newman Stephen C. <1952-> | ||
Hoboken, New Jersey : , : Wiley, , [2019] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Semi-riemannian geometry : with applications to relativity / Barret O'Neill |
Autore | O'Neill, Barrett |
Pubbl/distr/stampa | San Diego...[etc.] : Academic Press, c1983 |
Descrizione fisica | XIII, 468 p. ; 24 cm. |
Disciplina | 516.373 |
Collana | Pure and applied mathematics |
Soggetto topico | Geometria |
ISBN | 0-12-526740-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNIBAS-000007818 |
O'Neill, Barrett | ||
San Diego...[etc.] : Academic Press, c1983 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. della Basilicata | ||
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Semi-riemannian geometry : with applications to relativity / Barrett O' Neill |
Autore | O'NEILL, Barrett |
Pubbl/distr/stampa | New York : Academic press, 1983 |
Descrizione fisica | XIII, 468 p. : ill. ; 23 cm |
Disciplina | 516.373 |
Collana | Pure and applied mathematics |
Soggetto topico | Geometria reimanniana |
ISBN | 0-12-526740-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-990003220830203316 |
O'NEILL, Barrett | ||
New York : Academic press, 1983 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Semi-Riemannian geometry [[electronic resource] ] : with applications to relativity / / Barrett O'Neill |
Autore | O'Neill Barrett |
Pubbl/distr/stampa | New York, : Academic Press, 1983 |
Descrizione fisica | 1 online resource (483 p.) |
Disciplina |
510 s 516.3/73 19
510 s516.373 516.373 |
Collana | Pure and applied mathematics |
Soggetto topico |
Geometry, Riemannian
Manifolds (Mathematics) Calculus of tensors Relativity (Physics) |
ISBN |
1-281-76876-6
9786611768768 0-08-057057-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; SEMI-RIEMANNIAN GEOMETRY; Copyright Page; CONTENTS; Preface; Notation and Terminology; CHAPTER 1. MANIFOLD THEORY; Smooth Manifolds; Smooth Mappings; Tangent Vectors; Differential Maps; Curves; Vector Fields; One-Forms; Submanifolds; Immersions and Submersions; Topology of Manifolds; Some Special Manifolds; Integral Curves; CHAPTER 2. TENSORS; Basic Algebra; Tensor Fields; Interpretations; Tensors at a Point; Tensor Components; Contraction; Covariant Tensors; Tensor Derivations; Symmetric Bilinear Forms; Scalar Products; CHAPTER 3. SEMI-RIEMANNIAN MANIFOLDS; Isometries
The Levi-Civita ConnectionParallel Translation; Geodesics; The Exponential Map; Curvature; Sectional Curvature; Semi-Riemannian Surfaces; Type-Changing and Metric Contraction; Frame Fields; Some Differential Operators; Ricci and Scalar Curvature; Semi-Riemannian Product Manifolds; Local Isometries; Levels of Structure; CHAPTER 4. SEMI-RIEMANNIAN SUBMANIFOLDS; Tangents and Normals; The Induced Connection; Geodesics in Submanifolds; Totally Geodesic Submanifolds; Semi-Riemannian Hypersurfaces; Hyperquadrics; The Codazzi Equation; Totally Umbilic Hypersurfaces; The Normal Connection A Congruence TheoremIsometric Immersions; Two-Parameter Maps; CHAPTER 5. RIEMANNIAN AND LORENTZ GEOMETRY; The Gauss Lemma; Convex Open Sets; Arc Length; Riemannian Distance; Riemannian Completeness; Lorentz Causal Character; Timecones; Local Lorentz Geometry; Geodesics in Hyperquadrics; Geodesics in Surfaces; Completeness and Extendibility; CHAPTER 6. SPECIAL RELATIVITY; Newtonian Space and Time; Newtonian Space-Time; Minkowski Spacetime; Minkowski Geometry; Particles Observed; Some Relativistic Effects; Lorentz-Fitzgerald Contraction; Energy-Momentum; Collisions; An Accelerating Observer CHAPTER 7. CONSTRUCTIONSDeck Transformations; Orbit Manifolds; Orientability; Semi-Riemannian Coverings; Lorentz Time-Orientability; Volume Elements; Vector Bundles; Local Isometries; Matched Coverings; Warped Products; Warped Product Geodesics; Curvature of Warped Products; Semi-Riemannian Submersions; CHAPTER 8. SYMMETRY AND CONSTANT CURVATURE; Jacobi Fields; Tidal Forces; Locally Symmetric Manifolds; Isometries of Normal Neighborhoods; Symmetric Spaces; Simply Connected Space Forms; Transvections; CHAPTER 9. ISOMETRIES; Semiorthogonal Groups; Some Isometry Groups Time-Orientability and Space-OrientabilityLinear Algebra; Space Forms; Killing Vector Fields; The Lie Algebra i(M); I( M ) as Lie Group; Homogeneous Spaces; CHAPTER 10. CALCULUS OF VARIATIONS; First Variation; Second Variation; The Index Form; Conjugate Points; Local Minima and Maxima; Some Global Consequences; The Endmanifold Case; Focal Points; Applications; Variation of E; Focal Points along Null Geodesics; A Causality Theorem; CHAPTER 11. HOMOGENEOUS AND SYMMETRIC SPACES; More about Lie Groups; Bi-Invariant Metrics; Coset Manifolds; Reductive Homogeneous Spaces; Symmetric Spaces Riemannian Symmetric Spaces |
Record Nr. | UNINA-9910782496103321 |
O'Neill Barrett | ||
New York, : Academic Press, 1983 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Semi-riemannian geometry : with applications to relativity / Barrett O'Neil |
Autore | O'Neill, Barrett |
Pubbl/distr/stampa | Orlando : Academic Press, 1983 |
Descrizione fisica | 468 p. ; 23 cm |
Disciplina | 516.373 |
Collana | Pure and applied mathematics. A series of monographs & textbooks [Academic Press], 0079-8169 ; 103 |
Soggetto topico |
Calculus of tensors
Manifolds Relativity theory Riemannian geometry |
ISBN | 0125267401 |
Classificazione |
AMS 53B
AMS 70G05 AMS 83C QA649 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001325609707536 |
O'Neill, Barrett | ||
Orlando : Academic Press, 1983 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Singular semi-Riemannian geometry / by Demir N. Kupeli |
Autore | Kupeli, Demir N. |
Pubbl/distr/stampa | Dordrecht ; Boston ; London : Kluwer Academic Publishers, c1996 |
Descrizione fisica | x, 177 p. ; 25 cm. |
Disciplina | 516.373 |
Collana | Mathematics and its applications ; 366 |
Soggetto topico | Riemannian geometry |
ISBN | 0792339967 |
Classificazione | AMS 53C35 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001347039707536 |
Kupeli, Demir N. | ||
Dordrecht ; Boston ; London : Kluwer Academic Publishers, c1996 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Some nonlinear problems in Riemannian geometry / Thierry Aubin |
Autore | Aubin, Thierry |
Pubbl/distr/stampa | Berlin : Springer-Verlag, c1998 |
Descrizione fisica | xvii, 395 p. ; 25 cm |
Disciplina | 516.373 |
Collana | Springer monographs in mathematics |
Soggetto topico |
Nonlinear theories
Riemannian geometry |
ISBN | 3540607528 |
Classificazione |
AMS 53B21
AMS 53C25 AMS 58B20 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001356569707536 |
Aubin, Thierry | ||
Berlin : Springer-Verlag, c1998 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Spazi riemanniani simmetrici generalizzati. Tesi di laurea / laureanda Maria Sabba ; relat. R. A. Marinosci |
Autore | Sabba, Maria |
Pubbl/distr/stampa | Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1992-93 |
Disciplina | 516.373 |
Altri autori (Persone) | Marinosci, Rosa Anna |
Soggetto topico | Local riemannian geometry |
Classificazione | AMS 53B20 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNISALENTO-991001361619707536 |
Sabba, Maria | ||
Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1992-93 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Spectral geometry : direct and inverse problems / Pierre H. Bérard ; with an appendix by G. Besson |
Autore | Bérard, Pierre H. |
Pubbl/distr/stampa | Berlin [etc.] : Springer, c1986 |
Descrizione fisica | XIII, 272 p. ; 25 cm. |
Disciplina | 516.373 |
Collana | Lecture notes in mathematics |
Soggetto topico | Geometria |
ISBN | 3-540-16788-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNIBAS-000012848 |
Bérard, Pierre H. | ||
Berlin [etc.] : Springer, c1986 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. della Basilicata | ||
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Sub-Riemannian geometry : general theory and examples / Ovidiu Calin, Der-chen Chang |
Autore | Calin, Ovidiu |
Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 2009 |
Descrizione fisica | xiii, 370 p. : ill. ; 24 cm |
Disciplina | 516.373 |
Altri autori (Persone) | Chang, Der-chenauthor |
Collana | Encyclopedia of mathematics and its applications ; 126 |
Soggetto topico |
Geometry, Riemannian
Riemannian manifolds Geodesics (Mathematics) Submanifolds |
ISBN |
9780521897303
0521897300 |
Classificazione |
AMS 53C17
AMS 37L AMS 49J AMS 49L LC QA649.C27 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000327499707536 |
Calin, Ovidiu | ||
Cambridge ; New York : Cambridge University Press, 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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