The Ptolemaean inequality in the closure of complex hyperbolic planes

Authors

IOANNIS D. PLATIS
NİLGÜN SÖNMEZ

Abstract

We prove the Ptolemaean inequality andPtolemaeus' theorem in the closure of complex hyperbolic planes endowed with theCygan metric.

DOI

10.3906/mat-1604-6

Keywords

Complex hyperbolic plane, Cygan metric, Ptolemaean inequality, Ptolemaeus' theorem

First Page

1108

Last Page

1120

Recommended Citation

PLATIS, I. D, & SÖNMEZ, N (2017). The Ptolemaean inequality in the closure of complex hyperbolic planes. Turkish Journal of Mathematics 41 (5): 1108-1120. https://doi.org/10.3906/mat-1604-6