Almost complex homogeneous spaces and their submanifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1987
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 112 S. |
| ISBN: | 9971503778 |
Internformat
MARC
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| 100 | 1 | |a Yang, Kichoon |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Almost complex homogeneous spaces and their submanifolds |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1987 | |
| 300 | |a X, 112 S. | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001196692 | ||
Datensatz im Suchindex
| _version_ | 1804116268277563392 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface v
Chapter I. Structures of Compact Lie Croups 1
1. Definitions and examples 1
2. Lie algebras: basic results 4
3. Orthogonal and unitary representations 9
4. Maximal tori and Stiefel diagrams 12
5. Weyl groups 18
6. Dynkin diagrams and the classification 22
Chapter II. Almost Complex Homogeneous Spaces 27
7. Homogeneous spaces 27
8. Partial G flag manifolds and invariant
metrics 30
9. Invariant complex structures 32
10. The Maurer Cartan form 36
11. Integrability condition 40
12. The horizontal distribution 43
Chapter III. Complex Submanifolds 45
13. Pseudocomplex maps 45
14. Moving frames 47
15. J7(n) flag manifolds 50
16. 5O(2n; R) flag manifolds 53
Chapter IV. Examples: Holomorphic Curves 57
17. Holomorphic curves in .^2,3(C3) 58
18. Horizontal curves in U(n)/T 62
ix
x Contents
19. Holomorphic curves in CPm 67
20. Horizontal curves in Sp(n)/T 72
Chapter V. Algebraic Curves 79
21. Singular metrics and the
Gauss Bonnet Chern theorem 80
22. Projective curves and their
associated curves 82
23. Horizontal curves and the Prenet frames 84
24. Pliicker formulae for projective curves 85
25. The symplectic Plucker formulae 87
Appendix: Exterior Differential Systems 91
1. Exterior algebra 91
2. Completely integrable systems and
the Cauchy characteristics 93
3. Cartan Kahler theory 96
4. Prolongation 99
References 105
Index 109
|
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| id | DE-604.BV001775658 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:35:48Z |
| institution | BVB |
| isbn | 9971503778 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001196692 |
| oclc_num | 17300426 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 |
| physical | X, 112 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Yang, Kichoon Verfasser aut Almost complex homogeneous spaces and their submanifolds Singapore u.a. World Scientific 1987 X, 112 S. txt rdacontent n rdamedia nc rdacarrier Homogeneous spaces Submanifolds Homogener Raum (DE-588)4025787-3 gnd rswk-swf Untermannigfaltigkeit (DE-588)4128503-7 gnd rswk-swf Homogener Raum (DE-588)4025787-3 s Untermannigfaltigkeit (DE-588)4128503-7 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001196692&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yang, Kichoon Almost complex homogeneous spaces and their submanifolds Homogeneous spaces Submanifolds Homogener Raum (DE-588)4025787-3 gnd Untermannigfaltigkeit (DE-588)4128503-7 gnd |
| subject_GND | (DE-588)4025787-3 (DE-588)4128503-7 |
| title | Almost complex homogeneous spaces and their submanifolds |
| title_auth | Almost complex homogeneous spaces and their submanifolds |
| title_exact_search | Almost complex homogeneous spaces and their submanifolds |
| title_full | Almost complex homogeneous spaces and their submanifolds |
| title_fullStr | Almost complex homogeneous spaces and their submanifolds |
| title_full_unstemmed | Almost complex homogeneous spaces and their submanifolds |
| title_short | Almost complex homogeneous spaces and their submanifolds |
| title_sort | almost complex homogeneous spaces and their submanifolds |
| topic | Homogeneous spaces Submanifolds Homogener Raum (DE-588)4025787-3 gnd Untermannigfaltigkeit (DE-588)4128503-7 gnd |
| topic_facet | Homogeneous spaces Submanifolds Homogener Raum Untermannigfaltigkeit |
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