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.
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Partially supported by the Ministry of Economy and Competitiveness, Spain, under grant MTM2011-22528 and by the Danish Council for Independent Research, Natural Sciences.
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López, M.C., Gadea, P.M. & Swann, A. The Homogeneous Geometries of Real Hyperbolic Space. Mediterr. J. Math. 10, 1011–1022 (2013). https://doi.org/10.1007/s00009-012-0209-1
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DOI: https://doi.org/10.1007/s00009-012-0209-1