The homogeneous geometries of real hyperbolic space

Details The homogeneous geometries of real hyperbolic space The homogeneous geometries of real hyperbolic space

2011-11-24

arxiv.org/abs/1111.5723v1

Mathematics

Differential Geometry

13 pages

Scientific paper

We describe the holonomy algebras of all canonical connections of homogeneous structures on real hyperbolic spaces in all dimensions. The structural results obtained then lead to a determination of the types, in the sense of Tricerri and Vanhecke, of the corresponding homogeneous tensors. We use our analysis to show that the moduli space of homogeneous structures on real hyperbolic space has two connected components.

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