Riemannian geometry and holonomy groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow, Essex
Longman u.a.
1989
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
201 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 201 S. |
| ISBN: | 058201767X |
Staff View
MARC
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| 650 | 7 | |a holonomie |2 inriac | |
| 650 | 7 | |a variété riemannienne |2 inriac | |
| 650 | 4 | |a Geometry, Riemannian | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
Introduction 1
1. Manifolds and Structure Groups 6
Preliminaries
The principal frame bundle
Connections and covariant differentiation
Measuring torsion
2. Parallel Transport 19
The Levi Civita connection
Horizontality
The Riemann curvature tensor
Decomposable metrics
3. The Unitary Holonomy Group 31
Hermitian algebra
Complex and Kahler manifolds
Examples and further properties
4. RlEMANNIAN AND KAHLER CURVATURE 45
Spaces of curvature tensors
Curvature of a Kahler manifold
The Weitzenbock formula
5. Lie Algebras and Symmetric Spaces 58
The Cartan algebra
Homogeneous spaces
Inclusions between classical groups
Further examples and properties
6. Representation Theory 74
Weights and roots
Irreducible representations
Tensor products
7. Four Dimensions 88
Two forms and almost complex structures
Associated bundles
The twistor space
More on self dual Einstein manifolds
8. Special Kahler Manifolds 107
The canonical bundle
Calabi Yau metrics
Hyperkahler manifolds
Symplectic reduction
9. QUATERNIONIC MANIFOLDS 124
Quaternionic Kahler manifolds
Twistor spaces and quotients
Torsion and underlying structures
10. Classification Theorems 141
Covariant derivatives of curvature
Rank and transitivity
Results of Berger and Simons
11. The Holonomy Group G2 154
Relations with SO(4)
G2 as a structure group
Metrics with holonomy group G2
12. The Holonomy Group Spin(7) 169
Clifford algebras
Spin(7) as a structure group
A sporadic example
Spin(7) metrics and self duality
Notation index 185
References 188
|
| any_adam_object | 1 |
| author | Salamon, Simon |
| author_facet | Salamon, Simon |
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| classification_rvk | SI 880 SK 370 |
| ctrlnum | (OCoLC)18522302 (DE-599)BVBBV002131729 |
| dewey-full | 516.92 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.92 |
| dewey-search | 516.92 |
| dewey-sort | 3516.92 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| indexdate | 2024-07-09T15:40:51Z |
| institution | BVB |
| isbn | 058201767X |
| language | English |
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| physical | 201 S. |
| publishDate | 1989 |
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| publisher | Longman u.a. |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Salamon, Simon Verfasser aut Riemannian geometry and holonomy groups 1. publ. Harlow, Essex Longman u.a. 1989 201 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 201 Riemann, Variétés de ram espace topologique inriac géométrie riemannienne inriac holonomie inriac variété riemannienne inriac Geometry, Riemannian Holonomy groups Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Holonomiegruppe (DE-588)4160487-8 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 s Holonomiegruppe (DE-588)4160487-8 s DE-604 Riemannsche Fläche (DE-588)4049991-1 s Topologischer Raum (DE-588)4137586-5 s Pitman research notes in mathematics series 201 (DE-604)BV000022845 201 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001397926&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Salamon, Simon Riemannian geometry and holonomy groups Pitman research notes in mathematics series Riemann, Variétés de ram espace topologique inriac géométrie riemannienne inriac holonomie inriac variété riemannienne inriac Geometry, Riemannian Holonomy groups Topologischer Raum (DE-588)4137586-5 gnd Riemannsche Fläche (DE-588)4049991-1 gnd Holonomiegruppe (DE-588)4160487-8 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd |
| subject_GND | (DE-588)4137586-5 (DE-588)4049991-1 (DE-588)4160487-8 (DE-588)4128462-8 |
| title | Riemannian geometry and holonomy groups |
| title_auth | Riemannian geometry and holonomy groups |
| title_exact_search | Riemannian geometry and holonomy groups |
| title_full | Riemannian geometry and holonomy groups |
| title_fullStr | Riemannian geometry and holonomy groups |
| title_full_unstemmed | Riemannian geometry and holonomy groups |
| title_short | Riemannian geometry and holonomy groups |
| title_sort | riemannian geometry and holonomy groups |
| topic | Riemann, Variétés de ram espace topologique inriac géométrie riemannienne inriac holonomie inriac variété riemannienne inriac Geometry, Riemannian Holonomy groups Topologischer Raum (DE-588)4137586-5 gnd Riemannsche Fläche (DE-588)4049991-1 gnd Holonomiegruppe (DE-588)4160487-8 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | Riemann, Variétés de espace topologique géométrie riemannienne holonomie variété riemannienne Geometry, Riemannian Holonomy groups Topologischer Raum Riemannsche Fläche Holonomiegruppe Riemannsche Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001397926&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT salamonsimon riemanniangeometryandholonomygroups |