Complex cross--ratios and the Ptolemaean inequality
Differential Geometry
2012-07-24 v1 Metric Geometry
Abstract
We use Kor\'anyi--Reimann complex cross--ratios to prove the Ptolemaean inequality and the Theorem of Ptolemaeus in the setting of the boundary of complex hyperbolic space and the first Heisenberg group.
Cite
@article{arxiv.1207.5114,
title = {Complex cross--ratios and the Ptolemaean inequality},
author = {Ioannis D. Platis},
journal= {arXiv preprint arXiv:1207.5114},
year = {2012}
}
Comments
6 pages