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math.MG2012★ 1 cited
Moebius characterization of the boundary at infinity of rank one symmetric spaces
Sergei Buyalo, Viktor Schroeder
A Moebius structure (on a set X) is a class of metrics having the same cross-ratios. A Moebius structure is ptolemaic if it is invariant under inversion operations. The boundary at…
math.MG2010★ 10 cited
Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces
Sergei Buyalo, Viktor Schroeder
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 eq…