A. V. Kostin, N. N. Kostina, “An interpretation of Casey’s theorem and of its hyperbolic analogue”, Sib. Èlektron. Mat. Izv., 2016, Volume 13,Pages <nobr>242

This article is cited in 7 papers

Geometry and topology

An interpretation of Casey’s theorem and of its hyperbolic analogue

A. V. Kostin, N. N. Kostina

Kazan (Volga Region) Federal University, Elabuga Institute, Kazanskaya str., 89, 423604, Elabuga, Russia

Abstract: We obtain interpretations of Casey’s theorem and of its hyperbolic version in a pseudo-Euclidean and in a pseudo-hyperbolic spaces.

Keywords: Casey’s theorem, Ptolemy’s theorem, hyperbolic plane, Laguerre’s transformations.

UDC: 514.13

MSC: 51M09

Received February 10, 2016, published March 21, 2016

DOI: 10.17377/semi.2016.13.017