9780521274890: Homogeneous Structures on Riemannia

Sinossi

The central theme of this book is the theorem of Ambrose and Singer.

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Descrizione del libro

The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply connected Riemannian manifold a necessary and sufficient condition for it to be homogeneous.

Contenuti

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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