Symmetries of spacetimes and Riemannian manifolds:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht <<[u.a.]>>
Kluwer
1999
|
| Schriftenreihe: | Mathematics and its applications
487 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018436230&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 214 S. |
| ISBN: | 0792357930 |
Internformat
MARC
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| 245 | 1 | 0 | |a Symmetries of spacetimes and Riemannian manifolds |c by Krishan L. Duggal and Ramesh Sharma |
| 264 | 1 | |a Dordrecht <<[u.a.]>> |b Kluwer |c 1999 | |
| 300 | |a X, 214 S. | ||
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| 490 | 1 | |a Mathematics and its applications | |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 700 | 1 | |a Sharma, Ramesh |e Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1819361200494870528 |
|---|---|
| adam_text | Contents
Dedication v
Preface ix
1 Preliminaries 1
1.1 Semi-Euclidean Vector Spaces 1
1.2 Subspaces of Minkowski Spaces 4
1.3 Electromagnetism in R 6
1.4 Algebraic Structures 9
2 Semi-Riemannian Manifolds and Hypersurfaces 10
2.1 Differentiable Manifolds 10
2.2 Tensor Fields 11
2.3 Covariant and Exterior Derivatives 15
2.4 Semi-Riemannian Geometry 18
2.5 Semi-Riemannian Hypersurfaces 22
2.6 Null Curves of Lorentz Manifolds 24
2.7 Lightlike Hypersurfaces of Lorentz Manifolds 29
3 Lie Derivatives and Symmetry Groups 36
3.1 Integral Curves and Lie Derivatives 36
3.2 Lie Groups and Lie Algebras 40
3.3 Transformation Groups 43
3.4 Isometric and Conformal Symmetries 45
3.5 Affine, Projective and Curvature Collineations 51
4 Spacetimes of General Relativity 56
4.1 Spacetimes and Kinematic Quantities 56
4.2 Matter Tensor and Einstein s Field Equations 61
4.3 Spacetimes of Constant Curvature 65
4.4 Spacially Homogeneous Cosmological Models 70
4.5 Asymptotically Flat Spacetimes 72
4.6 Plane Wave Solutions 77
5 Killing and Affine Killing Vector Fields 79
5.1 Divergence Theorems 79
5.2 Killing Vector Fields on Riemannian Manifolds 81
5.3 Killing and Affine Symmetries on Semi-Riemannian Manifolds .... 86
5.4 Killing Symmetries in General relativity 87
vii
viii CONTENTS
5.5 Affine Collineations in General Relativity 96
6 Homothetic and Confermal Symmetries 103
6.1 Homothetic Symmetry in General Relativity 103
6.2 Homothetic Symmetry and Cauchy Surfaces 109
6.3 Homothetic Symmetry and Compact Hypersurfaces 115
6.4 Homothetic Symmetry and Lightlike Hypersurfaces 117
6.5 Conformal Motions in General Relativity 119
6.6 Relativistic Fluids and Conformal Symmetry 124
6.7 Conformal Motions in Riemannian Manifolds 131
7 Connection and Curvature Symmetries 134
7.1 Conformal Collineations 134
7.2 Conformal collineations in Relativity 140
7.3 Projective Collineations 142
7.4 Projective collineations in Relativity 145
7.5 Curvature Collineations 147
7.6 Ricci Collineations in Relativity 152
8 Symmetry Inheritance 156
8.1 Inheriting CKV Fields 156
8.2 Curvature Inheritance 161
8.3 Ricci Inheritance in Relativity 167
9 Symmetries of Some Geometric Structures 173
9.1 Kaehler Manifolds 173
9.2 Symmetries of Kaehler Manifolds 176
9.3 Contact Manifolds 178
9.4 Symmetries of Contact Manifolds 182
9.5 Globally Framed Manifolds 186
9.6 Symmetries of Framed Manifolds 189
9.7 Killing Horizon 191
A The Petrov Classification 193
Bibliography 195
Index 208
|
| any_adam_object | 1 |
| author | Duggal, Krishan L. 1929- |
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| author_facet | Duggal, Krishan L. 1929- |
| author_role | aut |
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| dewey-full | 530.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.11 |
| dewey-search | 530.11 |
| dewey-sort | 3530.11 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV024459833 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T13:55:54Z |
| institution | BVB |
| isbn | 0792357930 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018436230 |
| oclc_num | 246306175 |
| open_access_boolean | |
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| owner_facet | DE-83 |
| physical | X, 214 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spellingShingle | Duggal, Krishan L. 1929- Symmetries of spacetimes and Riemannian manifolds Mathematics and its applications |
| subject_GND | (DE-588)4113937-9 |
| title | Symmetries of spacetimes and Riemannian manifolds |
| title_auth | Symmetries of spacetimes and Riemannian manifolds |
| title_exact_search | Symmetries of spacetimes and Riemannian manifolds |
| title_full | Symmetries of spacetimes and Riemannian manifolds by Krishan L. Duggal and Ramesh Sharma |
| title_fullStr | Symmetries of spacetimes and Riemannian manifolds by Krishan L. Duggal and Ramesh Sharma |
| title_full_unstemmed | Symmetries of spacetimes and Riemannian manifolds by Krishan L. Duggal and Ramesh Sharma |
| title_short | Symmetries of spacetimes and Riemannian manifolds |
| title_sort | symmetries of spacetimes and riemannian manifolds |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018436230&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
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