Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces
Metric Geometry
2010-12-09 v1 Differential Geometry
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.
Cite
@article{arxiv.1012.1699,
title = {Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces},
author = {Sergei Buyalo and Viktor Schroeder},
journal= {arXiv preprint arXiv:1012.1699},
year = {2010}
}
Comments
77 pages