Homogeneous Structures on Riemannian Manifolds [1 ed.] 0521274893, 978-0-521-27489-0, 9781107325531, 1107325536

The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply co

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English Pages 144 [142] Year 1983

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Homogeneous Structures on Riemannian Manifolds [1 ed.]
 0521274893, 978-0-521-27489-0, 9781107325531, 1107325536

Table of contents :
Content: 1. The theorem of Ambrose and Singer
2. Homogeneous Riemannian structures
3. The eight classes of homogeneous structures
4. Homogeneous structures on surfaces
5. Homogeneous structures of type T1
6. Naturally reductive homogeneous spaces and homogeneous structures of type T3
7. The Heisenberg group
8. Examples and the inclusion relations
9. Generalized Heisenberg groups
10.Self-dual and anti-self-dual homogeneous structures.

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