TY - UNPB

T1 - The homogeneous geometries of real hyperbolic space

AU - Castrillón López, Marco

AU - Gadea, Pedro Martínez

AU - Swann, Andrew Francis

PY - 2011/11/29

Y1 - 2011/11/29

N2 - 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.

AB - 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.

M3 - Working paper

BT - The homogeneous geometries of real hyperbolic space

PB - Department of Mathematics, Aarhus University

ER -