Hyperbolic polygons of minimal perimeter with given angles

Details Hyperbolic polygons of minimal perimeter with given angles Hyperbolic polygons of minimal perimeter with given angles

2010-10-07

arxiv.org/abs/1010.1380v1

Mathematics

Geometric Topology

7 pages, 2 figures

Scientific paper

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 J.-M.\ Schlenker.

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