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Hyperbolic polygons of minimal perimeter with given angles |
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| Authors: | Joan Porti |
| Affiliation: | 1.Departament de Matemàtiques,Universitat Autònoma de Barcelona,Cerdanyola del Vallès,Spain |
| 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). |
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