Conformal geometric inequalities on the Klein bottle-Reference-Cited by-同舟云学术

Conformal geometric inequalities on the Klein bottle

Published:2015-10-28 Issue:11 Volume:19 Page:240-257
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

El Mir Chady,Yassine Zeina

Abstract

We prove three optimal conformal geometric inequalities of C. Blatter type on every Riemannian Klein bottle. These inequalities provide conformal lower bounds on the area and involve lengths of homotopy classes of curves that are natural candidates to realize the systole.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/2015-19-11/S1088-4173-2015-00283-0/S1088-4173-2015-00283-0.pdf

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