The homogeneous geometries of real hyperbolic space
Differential Geometry
2011-11-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1111.5723,
title = {The homogeneous geometries of real hyperbolic space},
author = {Marco Castrillon Lopez and P. M. Gadea and Andrew Swann},
journal= {arXiv preprint arXiv:1111.5723},
year = {2011}
}
Comments
13 pages