Transformation groups in differential geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1995
|
| Edition: | Repr. of the 1972 ed. |
| Series: | Springer classics in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 70 |
| Physical Description: | VIII, 182 S. |
| ISBN: | 3540586598 |
Staff View
MARC
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| 245 | 1 | 0 | |a Transformation groups in differential geometry |c Shoshichi Kobayashi |
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| 264 | 1 | |a Berlin u.a. |b Springer |c 1995 | |
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Record in the Search Index
| _version_ | 1804124352879263744 |
|---|---|
| adam_text | Contents
I. Automorphisms of G Structures 1
1. G Structures 1
2. Examples of G Structures 5
3. Two Theorems on Differentiable Transformation Groups. . 13
4. Automorphisms of Compact Elliptic Structures 16
5. Prolongations of G Structures 19
6. Volume Elements and Symplectic Structures 23
7. Contact Structures 28
8. Pseudogroup Structures, G Structures and Filtered Lie Alge¬
bras 33
II. Isometries of Riemannian Manifolds 39
1. The Group of Isometries of a Riemannian Manifold .... 39
2. Infinitesimal Isometries and Infinitesimal Affine Trans¬
formations 42
3. Riemannian Manifolds with Large Group of Isometries . . 46
4. Riemannian Manifolds with Little Isometries 55
5. Fixed Points of Isometries 59
6. Infinitesimal Isometries and Characteristic Numbers .... 67
III. Automorphisms of Complex Manifolds 77
1. The Group of Automorphisms of a Complex Manifold . . 77
2. Compact Complex Manifolds with Finite Automorphism
Groups 82
3. Holomorphic Vector Fields and Holomorphic 1 Forms . . 90
4. Holomorphic Vector Fields on Kahler Manifolds .... 92
5. Compact Einstein Kahler Manifolds 95
6. Compact Kahler Manifolds with Constant Scalar Curvature 97
7. Conformal Changes of the Laplacian 100
8. Compact Kahler Manifolds with Nonpositive First Chern
Class 103
VIII Contents
9. Projectively Induced Holomorphic Transformations.. . . 106
10. Zeros of Infinitesimal Isometries 112
11. Zeros of Holomorphic Vector Fields 115
12. Holomorphic Vector Fields and Characteristic Numbers. . 119
IV. Affine, Conformal and Projective Transformations 122
1. The Group of Affine Transformations of an Affinely Con¬
nected Manifold 122
2. Affine Transformations of Riemannian Manifolds 125
3. Cartan Connections 127
4. Projective and Conformal Connections 131
5. Frames of Second Order 139
6. Projective and Conformal Structures 141
7. Projective and Conformal Equivalences 145
Appendices 150
1. Reductions of 1 Forms and Closed 2 Forms 150
2. Some Integral Formulas 154
3. Laplacians in Local Coordinates 157
4. A Remark on rf rf Cohomology 159
Bibliography 160
Index 181
|
| any_adam_object | 1 |
| author | Kobayashi, Shōshichi 1932-2012 |
| author_GND | (DE-588)107956209 |
| author_facet | Kobayashi, Shōshichi 1932-2012 |
| author_role | aut |
| author_sort | Kobayashi, Shōshichi 1932-2012 |
| author_variant | s k sk |
| building | Verbundindex |
| bvnumber | BV009978997 |
| classification_rvk | SK 340 SK 370 |
| ctrlnum | (OCoLC)75505763 (DE-599)BVBBV009978997 |
| discipline | Mathematik |
| edition | Repr. of the 1972 ed. |
| format | Book |
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| id | DE-604.BV009978997 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:44:18Z |
| institution | BVB |
| isbn | 3540586598 |
| language | English |
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| physical | VIII, 182 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer classics in mathematics |
| spelling | Kobayashi, Shōshichi 1932-2012 Verfasser (DE-588)107956209 aut Transformation groups in differential geometry Shoshichi Kobayashi Repr. of the 1972 ed. Berlin u.a. Springer 1995 VIII, 182 S. txt rdacontent n rdamedia nc rdacarrier Springer classics in mathematics Aus: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 70 Systemtransformation (DE-588)4060633-8 gnd rswk-swf Transformationsgruppe (DE-588)4127386-2 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s Transformationsgruppe (DE-588)4127386-2 s DE-604 Systemtransformation (DE-588)4060633-8 s 1\p DE-604 Erscheint auch als Online-Ausgabe 978-3-642-61981-6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006613643&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 | Kobayashi, Shōshichi 1932-2012 Transformation groups in differential geometry Systemtransformation (DE-588)4060633-8 gnd Transformationsgruppe (DE-588)4127386-2 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4060633-8 (DE-588)4127386-2 (DE-588)4012248-7 |
| title | Transformation groups in differential geometry |
| title_auth | Transformation groups in differential geometry |
| title_exact_search | Transformation groups in differential geometry |
| title_full | Transformation groups in differential geometry Shoshichi Kobayashi |
| title_fullStr | Transformation groups in differential geometry Shoshichi Kobayashi |
| title_full_unstemmed | Transformation groups in differential geometry Shoshichi Kobayashi |
| title_short | Transformation groups in differential geometry |
| title_sort | transformation groups in differential geometry |
| topic | Systemtransformation (DE-588)4060633-8 gnd Transformationsgruppe (DE-588)4127386-2 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Systemtransformation Transformationsgruppe Differentialgeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006613643&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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