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arXiv · 1012.1699

Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces

Sergei Buyalo·Viktor Schroeder
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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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Sergei Buyalo, Viktor Schroeder. 2010-12-08. Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces. https://arxiv.org/abs/1012.1699

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