Finsler geometry and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Horwood
1990
|
| Edition: | 1. publ. |
| Series: | Ellis Horwood series in mathematics and its applications
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Rumän. übers. |
| Physical Description: | 198 S. |
| ISBN: | 0133179753 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804118373398740992 |
|---|---|
| adam_text | Table of contents
Preface 7
1 Finsler geometry on the tangent bundle of a manifold
1. Finsler spaces, generalizations and examples 11
2. Finsler tensor calculus via the vertical vector bundle 16
3. Vectorial Finsler connections 21
4. Finsler connections on a manifold 32
5. Finsler connections on Riemann Finsler manifolds 40
2 Submanifolds of Riemann Finsler manifolds
1. The Riemann Finsler normal bundle and the induced Finsler
connections 45
2. Structure equations of Riemann Finsler submanifolds 52
3. Riemann Finsler immersions and // Cartan connections 60
4. Special immersions of Riemann Finsler manifolds 66
5. Totally geodesic Finsler subspaces 72
3 Gauge theory on the tangent bundle
1. Global gauge invariance of Lagrangians on the tangent bundle 80
2. Local gauge invariance of Lagrangians on the tangent bundle 87
3. Strength fields and Lagrangians for gauge fields on the tangent bundle . 90
4. Equations of motion and conservation laws 99
5. Bianchi identities with respect to covariant derivatives of strength fields. 104
4 Gauge theory on a fibre bundle
1. A tensor calculus induced by a horizontal distribution on a fibre bundle . 108
2. Global gauge invariance of Lagrangians on a fibre bundle 117
3. Local gauge invariance of Lagrangians on a fibre bundle 123
4. Strength fields and Lagrangians for gauge fields on a fibre bundle .... 124
5. Equations of motion, conservation laws and Bianchi identities 127
6. Gauge theory on a vector bundle 134
6 Table of contents
5 Multi dimensional physical theories as gauge theories on a fibre bundle
1. A generalization of electromagnetic field theory 137
2. A generalization of Yang Mills theory 144
6 A new geometrical framework for a multi dimensional relativity theory
1. Gauge fields and strength fields for tensor densities and anti densities
on a fibre bundle 148
2. Ricci identities and Bianchi identities 151
3. Euler Lagrange derivatives and conservation laws 159
7 Differential geometry of a supermanifold as a Finsler geometry
1. Supervector spaces and supermanifolds 166
2. Supertensor fields on a supermanifold 169
3. // superconnections on a supermanifold 175
8 Finsler geometry and deformation of oriented media
1. A new view of deformations of oriented media 183
2. Deformations of special // connections on oriented media 187
References 191
Author index 196
Subject index 197
|
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| dewey-sort | 3516.3 275 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV004161964 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:09:16Z |
| institution | BVB |
| isbn | 0133179753 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002595396 |
| oclc_num | 20852889 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-91 DE-BY-TUM DE-739 DE-11 |
| owner_facet | DE-12 DE-384 DE-91 DE-BY-TUM DE-739 DE-11 |
| physical | 198 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Horwood |
| record_format | marc |
| series2 | Ellis Horwood series in mathematics and its applications |
| spelling | Bejancu, Aurel Verfasser aut Finsler geometry and applications Aurel Bejancu 1. publ. New York u.a. Horwood 1990 198 S. txt rdacontent n rdamedia nc rdacarrier Ellis Horwood series in mathematics and its applications Aus d. Rumän. übers. Finsler spaces Finsler-Raum (DE-588)4154449-3 gnd rswk-swf Finsler-Raum (DE-588)4154449-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002595396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bejancu, Aurel Finsler geometry and applications Finsler spaces Finsler-Raum (DE-588)4154449-3 gnd |
| subject_GND | (DE-588)4154449-3 |
| title | Finsler geometry and applications |
| title_auth | Finsler geometry and applications |
| title_exact_search | Finsler geometry and applications |
| title_full | Finsler geometry and applications Aurel Bejancu |
| title_fullStr | Finsler geometry and applications Aurel Bejancu |
| title_full_unstemmed | Finsler geometry and applications Aurel Bejancu |
| title_short | Finsler geometry and applications |
| title_sort | finsler geometry and applications |
| topic | Finsler spaces Finsler-Raum (DE-588)4154449-3 gnd |
| topic_facet | Finsler spaces Finsler-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002595396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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