Conformal Geometric Inequalities on the Klein Bottle
Differential Geometry
2012-09-28 v1
Abstract
We prove three optimal conformal geometric inequalities of Blatter type on the Klein bottle. These inequalities provide conformal lower bounds of the volume and involve lengths of homotopy classes of curves that are candidates to realize the systole.
Keywords
Cite
@article{arxiv.1209.6202,
title = {Conformal Geometric Inequalities on the Klein Bottle},
author = {Chady El Mir and Zeina Yassine},
journal= {arXiv preprint arXiv:1209.6202},
year = {2012}
}
Comments
12 pages