A quantitative obstruction to collapsing surfaces
Differential Geometry
2019-10-25 v3
Abstract
We provide a quantitative obstruction to collapsing surfaces of genus at least 2 under a lower curvature bound and an upper diameter bound. Keywords: curvature; diameter; volume; filling radius; systole; Gromov-Hausdorff distance
Cite
@article{arxiv.1604.06782,
title = {A quantitative obstruction to collapsing surfaces},
author = {Mikhail G. Katz},
journal= {arXiv preprint arXiv:1604.06782},
year = {2019}
}
Comments
4 pages. Published in Open Mathematics