Hyperbolic polygons of minimal perimeter with given angles

Joan Porti

doi:10.1007/s10711-011-9597-9

Hyperbolic polygons of minimal perimeter with given angles

Joan Porti

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

4 Citations (Scopus)

Abstract

We prove that, among all convex hyperbolic polygons with given angles, the perimeter is minimized by the unique polygon with an inscribed circle. The proof relies on work of Schlenker (Trans Am Math Soc 359(5): 2155-2189, 2007). © 2011 Springer Science+Business Media B.V.

Original language	English
Pages (from-to)	165-170
Journal	Geometriae Dedicata
Volume	156
Issue number	1
DOIs	https://doi.org/10.1007/s10711-011-9597-9
Publication status	Published - 1 Feb 2012

Keywords

De Sitter sphere
Hyperbolic polygon
Minimizing
Perimeter

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10.1007/s10711-011-9597-9

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AB - We prove that, among all convex hyperbolic polygons with given angles, the perimeter is minimized by the unique polygon with an inscribed circle. The proof relies on work of Schlenker (Trans Am Math Soc 359(5): 2155-2189, 2007). © 2011 Springer Science+Business Media B.V.

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Hyperbolic polygons of minimal perimeter with given angles

Abstract

Keywords

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