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Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces (1012.1699v1)
Published 8 Dec 2010 in math.MG and math.DG
Abstract: The paper initiates a systematic study of Moebius structures and Ptolemy spaces. We conjecture that every compact Ptolemy space with circles and many space inversions is Moebius equivalent to the boundary at infinity of a rank one symmetric space of noncompact type. We prove this conjecture for the class of complex hyperbolic spaces as our main result.
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