paper

A quantitative obstruction to collapsing surfaces

arXiv:1604.06782 · doi:10.1515/math-2019-0103

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

4 pages. Published in Open Mathematics

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