Resum
© 2018 Scuola Normale Superiore. All rights reserved. We prove that, among the polygons in a punctured disc with fixed angles, the perimeter is minimized by the polygon with an inscribed horocycle centered at the puncture. We generalize this to a disc with a cone point and to an annulus with a geodesic boundary component and a complete end. Then we apply this result to describe the minimum of the spine systole on the moduli space of punctured surfaces.
Idioma original | Anglès |
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Pàgines (de-a) | 831-844 |
Revista | Annali della Scuola normale superiore di Pisa - Classe di scienze |
Volum | 18 |
Número | 3 |
DOIs | |
Estat de la publicació | Publicada - 1 de maig 2018 |