Hyperellipticity and Klein bottle companionship in systolic geometry
Differential Geometry
2009-05-06 v3 Algebraic Geometry
Abstract
Given a hyperelliptic Klein surface, we construct companion Klein bottles. Bavard's short loops on companion bottles are studied in relation to the surface to improve an inequality of Gromov's in systolic geometry.
Keywords
Cite
@article{arxiv.0811.1717,
title = {Hyperellipticity and Klein bottle companionship in systolic geometry},
author = {Karin Usadi Katz and Mikhail G. Katz},
journal= {arXiv preprint arXiv:0811.1717},
year = {2009}
}
Comments
18 pages, 1 figure