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2018 Different definitions of conic sections in hyperbolic geometry
Patrick Chao, Jonathan Rosenberg
Involve 11(5): 753-768 (2018). DOI: 10.2140/involve.2018.11.753

Abstract

In classical Euclidean geometry, there are several equivalent definitions of conic sections. We show that in the hyperbolic plane, the analogues of these same definitions still make sense, but are no longer equivalent, and we discuss the relationships among them.

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Patrick Chao. Jonathan Rosenberg. "Different definitions of conic sections in hyperbolic geometry." Involve 11 (5) 753 - 768, 2018. https://doi.org/10.2140/involve.2018.11.753

Information

Received: 30 March 2016; Revised: 30 October 2017; Accepted: 14 November 2017; Published: 2018
First available in Project Euclid: 12 April 2018

MathSciNet: MR3784024
zbMATH: 06866581
Digital Object Identifier: 10.2140/involve.2018.11.753

Subjects:
Primary: 51M10
Secondary: 51N15, 53A35

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.11 • No. 5 • 2018
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