Generalized symmetric spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1980
|
| Series: | Lecture notes in mathematics
805 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 187 S. |
| ISBN: | 3540100024 0387100024 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804116721889443840 |
|---|---|
| adam_text | TABLE OF CONTENTS
LIST OF STANDARD DENOTATIONS XI
CHAPTER 0 - GENERALIZED SYMMETRIC RIEMANNIAN SPACES
Riemannian symmetric spaces 1
Hicmnnniun s-structures 2
Regular s-structures 6
Existence theorems 9
A low-dimensional example 18
The de Rham decomposition 20
Parallel and non-parallel s-structures ... 22
The canonical connection 23
CHAPTER I - REDUCTIVE SPACES
Reductive homogeneous spaces 27
The canonical connection 28
A]|;cbraic characterization 33
The croup of transvectlons 36
Ai i iiie reductive spaces 4l
CHAPTER 11 - D1FFERENT1ABLE s-MANIFOLDS
Afi ine symmetric spaces 45
The main theorem 46
The canonical connection 48
Regular homogeneous s-manifolds 52
lliv i;roup oi transvect ions 57
s-raanifolds of finite order 62
Riemannian regular s-structures 63
Metrizable regular s-manifolds 65
Disconnected regular s-manifolds 66
CHAPTER III - LOCALLY REGULAR s-MANIFOLDS
Localization of the previous theory 68
Infinitesimal s-manifolds 73
Local regular s-triplets 76
A construction of local regular s-structures 78
The Riemannian case 81
Invariant almost complex structures 84
CHAPTER IV - OPERATIONS WITH s-MANIFOLDS
Submanifolds and foliations 89
Decomposition of s-manifolds 93
Periodic s-manifolds 96
Amalgamations 99
Complexifications 102
Spaces without infinitesimal rotations 104
Pseudo -duality 106
Properties of eigenvalues 107
CHAPTER V - DISTINGUISHED s-STRUCTURES ON GENERALIZED
SYMMETRIC SPACES
Generalized affine symmetric spaces 111
The multiplicative theory of eigenvalues 116
The additive theory of eigenvalues 120
Applications and problems 127
CHAPTER VI - THE CLASSIFICATION OF GENERALIZED SYMMETRIC
RIEMANNIAN SPACES IN LOW DIMENSIONS
The classification procedure 131
Dimension n=3 134
Dimension n = k 136
Dimension n = 5 142
Dimension n=6 148
CHAPTER VII - THE CLASSIFICATION OF GENERALIZED AFFINE
SYMMETRIC SPACES IN LOW DIMENSIONS l49
Note 1 - Existence of generalized symmetric spaces
of solvable type .......... 158
Note 2 - Irreducible generalized affine symmetric
spaces 161
Note 3 - Generalized pointwise symmetric spaces 164
Note k - Non-parallel s-structures on symmetric spaces .... 168
Note 5 - Some advanced results 171
Appendix A: A digest of the theory of connections 173
Appendix B: Some theorems from the differential geometry . . 177
REFERENCES 179
SUBJECT INDEX 182
NOTATION INDEX I87
|
| any_adam_object | 1 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-raw | 516.3/62 510 |
| dewey-search | 516.3/62 510 |
| dewey-sort | 3516.3 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-09T15:43:01Z |
| institution | BVB |
| isbn | 3540100024 0387100024 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001487973 |
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| physical | IX, 187 S. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Kowalski, Oldřich Verfasser aut Generalized symmetric spaces Oldřich Kowalski Berlin [u.a.] Springer 1980 IX, 187 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 805 Espaces symétriques Espaces symétriques ram Riemann, Variétés de Riemann, variétés de ram Riemannian manifolds Symmetric spaces Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Symmetrischer Raum (DE-588)4184206-6 gnd rswk-swf Symmetrischer Raum (DE-588)4184206-6 s DE-604 Riemannscher Raum (DE-588)4128295-4 s 1\p DE-604 Lecture notes in mathematics 805 (DE-604)BV000676446 805 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001487973&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kowalski, Oldřich Generalized symmetric spaces Lecture notes in mathematics Espaces symétriques Espaces symétriques ram Riemann, Variétés de Riemann, variétés de ram Riemannian manifolds Symmetric spaces Riemannscher Raum (DE-588)4128295-4 gnd Symmetrischer Raum (DE-588)4184206-6 gnd |
| subject_GND | (DE-588)4128295-4 (DE-588)4184206-6 |
| title | Generalized symmetric spaces |
| title_auth | Generalized symmetric spaces |
| title_exact_search | Generalized symmetric spaces |
| title_full | Generalized symmetric spaces Oldřich Kowalski |
| title_fullStr | Generalized symmetric spaces Oldřich Kowalski |
| title_full_unstemmed | Generalized symmetric spaces Oldřich Kowalski |
| title_short | Generalized symmetric spaces |
| title_sort | generalized symmetric spaces |
| topic | Espaces symétriques Espaces symétriques ram Riemann, Variétés de Riemann, variétés de ram Riemannian manifolds Symmetric spaces Riemannscher Raum (DE-588)4128295-4 gnd Symmetrischer Raum (DE-588)4184206-6 gnd |
| topic_facet | Espaces symétriques Riemann, Variétés de Riemann, variétés de Riemannian manifolds Symmetric spaces Riemannscher Raum Symmetrischer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001487973&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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