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 | |
Publication status | Published - 1 Feb 2012 |
Keywords
- De Sitter sphere
- Hyperbolic polygon
- Minimizing
- Perimeter