Lightlike submanifolds of semi-Riemannian manifolds and applications:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1996
|
| Schriftenreihe: | Mathematics and its applications
364 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007174379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VIII, 300 S. |
| ISBN: | 0792339576 |
Internformat
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| 245 | 1 | 0 | |a Lightlike submanifolds of semi-Riemannian manifolds and applications |c by Krishan L. Duggal and Aurel Bejancu |
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| 300 | |a VIII, 300 S. | ||
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| 650 | 7 | |a Riemann, Variétés de |2 ram | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Riemannian manifolds | |
| 650 | 4 | |a Semi-Riemannian geometry | |
| 650 | 4 | |a Submanifolds | |
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Datensatz im Suchindex
| _version_ | 1819325644548341760 |
|---|---|
| adam_text | Table of Contents
Preface. vii
1 Algebraic Preliminaries.
1.1 Semi Euclidean spaces 1
1.2 Subspaces of semi Euclidean spaces 5
1.3 Linear isometries of semi Euclidean spaces 12
2 Differential geometric structures on Manifolds.
2.1 Vector bundles 18
2.2 Differential operators on vector bundles 23
2.3 Distributions on manifolds 32
2.4 Semi Riemannian manifolds 37
2.5 Lightlike manifolds 47
3 Geometry of null curves in Lorentz manifolds.
3.1 Frenet frames for a null curve of a Lorentz manifold 52
3.2 Null curves of Lorentz manifolds of dimension 4 and 3 60
3.3 Null curves of R?+2 68
4 Lightlike hypersurfaces of semi Riemannian manifolds.
4.1 Lightlike transversal vector bundles of a lightlike hypersurface 77
4.2 The induced geometrical objects on a lightlike hypersurface 82
4.3 The Gauss Codazzi equations for lightlike hypersurfaces 93
4.4 The fundamental theorem for lightlike hypersurfaces 100
4.5 Totally umbilical lightlike hypersurfaces 106
4.6 Lightlike hypersurfaces of semi Euclidean spaces 114
4.7 Lightlike hypersurfaces of R f, R and R 123
5 Lightlike submanifolds of semi Riemannian manifolds.
5.1 The transversal vector bundle of a lightlike submanifold 139
5.2 The induced geometric objects on lightlike submanifolds 154
5.3 Structure equations of a lightlike submanifold 170
5.4 Lightlike surfaces of Rj 177
vi TABLE OF CONTENTS
6 CR lightlike submanifolds of indefinite Kaehler manifolds.
6.1 Indefinite Kaehler manifolds 190
6.2 Lightlike real hypersurfaces of indefinite Kaehler manifolds 192
6.3 CR lightlike submanifolds 200
7 Lightlike hypersurfaces of Lorentz framed manifolds.
7.1 Lorentz framed manifolds 211
7.2 Induced lightlike framed hypersurfaces 216
7.3 Lightlike framed hypersurfaces of decomposable manifolds 223
7.4 Lightlike framed hypersurfaces as Killing horizons 230
8 Lightlike hypersurfaces and electromagnetism.
8.1 Electromagnetism in 4 dimensional Minkowski spacetime 233
8.2 Induced electromagnetic tensor field on lightlike hypersurfaces 237
8.3 Geometry of induced electromagnetic tensor fields 246
9 Lightlike hypersurfaces and general relativity.
9.1 Induced Einstein field equations 253
9.2 Lightlike hypersurfaces admitting a conformal vector field 258
9.3 Lightlike hypersurfaces admitting an affine conformal vector field 264
9.4 Physical examples of lightlike hypersurfaces 268
References. 274
Author Index. 287
Subject Index. 291
|
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| dewey-full | 516.3/73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| id | DE-604.BV010743579 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:59:53Z |
| institution | BVB |
| isbn | 0792339576 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007174379 |
| oclc_num | 34116551 |
| open_access_boolean | |
| owner | DE-12 |
| owner_facet | DE-12 |
| physical | VIII, 300 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spellingShingle | Duggal, Krishan L. 1929- Bejancu, Aurel Lightlike submanifolds of semi-Riemannian manifolds and applications Mathematics and its applications Physique mathématique ram Riemann, Variétés de ram Mathematische Physik Mathematical physics Riemannian manifolds Semi-Riemannian geometry Submanifolds Entartete partielle Differentialgleichung (DE-588)4152321-0 gnd Untermannigfaltigkeit (DE-588)4128503-7 gnd |
| subject_GND | (DE-588)4152321-0 (DE-588)4128503-7 |
| title | Lightlike submanifolds of semi-Riemannian manifolds and applications |
| title_auth | Lightlike submanifolds of semi-Riemannian manifolds and applications |
| title_exact_search | Lightlike submanifolds of semi-Riemannian manifolds and applications |
| title_full | Lightlike submanifolds of semi-Riemannian manifolds and applications by Krishan L. Duggal and Aurel Bejancu |
| title_fullStr | Lightlike submanifolds of semi-Riemannian manifolds and applications by Krishan L. Duggal and Aurel Bejancu |
| title_full_unstemmed | Lightlike submanifolds of semi-Riemannian manifolds and applications by Krishan L. Duggal and Aurel Bejancu |
| title_short | Lightlike submanifolds of semi-Riemannian manifolds and applications |
| title_sort | lightlike submanifolds of semi riemannian manifolds and applications |
| topic | Physique mathématique ram Riemann, Variétés de ram Mathematische Physik Mathematical physics Riemannian manifolds Semi-Riemannian geometry Submanifolds Entartete partielle Differentialgleichung (DE-588)4152321-0 gnd Untermannigfaltigkeit (DE-588)4128503-7 gnd |
| topic_facet | Physique mathématique Riemann, Variétés de Mathematische Physik Mathematical physics Riemannian manifolds Semi-Riemannian geometry Submanifolds Entartete partielle Differentialgleichung Untermannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007174379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT duggalkrishanl lightlikesubmanifoldsofsemiriemannianmanifoldsandapplications AT bejancuaurel lightlikesubmanifoldsofsemiriemannianmanifoldsandapplications |