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math.MGApr 2, 2016
authors
  • Ioannis D. Platis
  • Nilgün Sönmez
institutions
  • Afyon Kocatepe University
  • University of Crete
arXiv abstractPDF
paper

The Ptolemaean Inequality in the closure of complex hyperbolic plane

arXiv:1604.00473

Abstract

We prove Ptolemaean Inequality and Ptolemaeus' Theorem in the closure complex hyperbolic plane endowed with the Cygan metric.

11 pages

References in corpus (2)

  • Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces
  • Moebius rigidity of invariant metrics in boundaries of symmetric spaces of rank 1
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