Optimal systolic inequalities on Finsler Mobius bands

Autor:	Sabourau, Stéphane, Yassine, Zeina
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We prove optimal systolic inequalities on Finsler Mobius bands relating the systole and the height of the Mobius band to its Holmes-Thompson volume. We also establish an optimal systolic in- equality for Finsler Klein bottles of revolution, which we conjecture to hold true for arbitrary Finsler metrics. Extremal metric families both on the Mobius band and the Klein bottle are also presented.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1503.01282 Zobrazit plný text záznamu View this record from Arxiv