The homogeneous geometries of real hyperbolic space

Marco Castrillón López, Pedro Martínez Gadea, Andrew Francis Swann

Research output: Working paper/Preprint Working paperResearch

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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.
Original languageEnglish
PublisherDepartment of Mathematics, Aarhus University
Number of pages13
Publication statusPublished - 29 Nov 2011

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