Naturally reductive metrics and Einstein metrics on compact Lie groups:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
1979
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
215 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 18, Number 215 (end of volume) |
| Physical Description: | III, 72 S. |
| ISBN: | 0821822152 |
Staff View
MARC
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| 245 | 1 | 0 | |a Naturally reductive metrics and Einstein metrics on compact Lie groups |c J. E. D'Atri and W. Ziller |
| 264 | 1 | |a Providence, RI |c 1979 | |
| 300 | |a III, 72 S. | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 215 | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Section
0. Introduction 1
1. Preliminaries 3
2. Naturally reductive metrics on compact Lie groups .... 9
3. Isometry groups of left invariant metrics 21
4. Geometry of naturally reductive left invariant metrics. . 26
5. Einstein metrics 31
Einstein condition 31
Quotient of Killing forms 35
Solution of Einstein condition and examples 43
An example where A does not act irreducibly on m . . 57
Classification for rank o = 2 59
General remarks 62
6. Noncompact Lie groups 64
7. Homogeneous spaces 66
References 71
|
| any_adam_object | 1 |
| author | D'Atri, Joseph E. 1938-1993 Ziller, Wolfgang |
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| author_facet | D'Atri, Joseph E. 1938-1993 Ziller, Wolfgang |
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| author_sort | D'Atri, Joseph E. 1938-1993 |
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| building | Verbundindex |
| bvnumber | BV003622223 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 340 |
| ctrlnum | (OCoLC)4591701 (DE-599)BVBBV003622223 |
| dewey-full | 510/.8 516/.362 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510/.8 516/.362 |
| dewey-search | 510/.8 516/.362 |
| dewey-sort | 3510 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Natürliche reduzierte Metrik gnd Natürlich reduzierte Metrik gnd |
| genre_facet | Natürliche reduzierte Metrik Natürlich reduzierte Metrik |
| id | DE-604.BV003622223 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:02:54Z |
| institution | BVB |
| isbn | 0821822152 |
| language | English |
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| physical | III, 72 S. |
| psigel | TUB-www |
| publishDate | 1979 |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | D'Atri, Joseph E. 1938-1993 Verfasser (DE-588)11953245X aut Naturally reductive metrics and Einstein metrics on compact Lie groups J. E. D'Atri and W. Ziller Providence, RI 1979 III, 72 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 215 Volume 18, Number 215 (end of volume) Homogene ruimten gtt Pseudo Riemannian-manifolds gtt Homogeneous spaces Lie algebras Lie groups Riemannian manifolds Einstein-Metrik (DE-588)4726760-4 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Natürliche reduzierte Metrik gnd rswk-swf Natürlich reduzierte Metrik gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s Einstein-Metrik (DE-588)4726760-4 s DE-604 Natürlich reduzierte Metrik f Natürliche reduzierte Metrik f Ziller, Wolfgang Verfasser aut American Mathematical Society: Memoirs of the American Mathematical Society 215 (DE-604)BV008000141 215 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002307214&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | D'Atri, Joseph E. 1938-1993 Ziller, Wolfgang Naturally reductive metrics and Einstein metrics on compact Lie groups American Mathematical Society: Memoirs of the American Mathematical Society Homogene ruimten gtt Pseudo Riemannian-manifolds gtt Homogeneous spaces Lie algebras Lie groups Riemannian manifolds Einstein-Metrik (DE-588)4726760-4 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4726760-4 (DE-588)4035695-4 |
| title | Naturally reductive metrics and Einstein metrics on compact Lie groups |
| title_auth | Naturally reductive metrics and Einstein metrics on compact Lie groups |
| title_exact_search | Naturally reductive metrics and Einstein metrics on compact Lie groups |
| title_full | Naturally reductive metrics and Einstein metrics on compact Lie groups J. E. D'Atri and W. Ziller |
| title_fullStr | Naturally reductive metrics and Einstein metrics on compact Lie groups J. E. D'Atri and W. Ziller |
| title_full_unstemmed | Naturally reductive metrics and Einstein metrics on compact Lie groups J. E. D'Atri and W. Ziller |
| title_short | Naturally reductive metrics and Einstein metrics on compact Lie groups |
| title_sort | naturally reductive metrics and einstein metrics on compact lie groups |
| topic | Homogene ruimten gtt Pseudo Riemannian-manifolds gtt Homogeneous spaces Lie algebras Lie groups Riemannian manifolds Einstein-Metrik (DE-588)4726760-4 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Homogene ruimten Pseudo Riemannian-manifolds Homogeneous spaces Lie algebras Lie groups Riemannian manifolds Einstein-Metrik Lie-Gruppe Natürliche reduzierte Metrik Natürlich reduzierte Metrik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002307214&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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