Systolic inequalities and minimal hypersurfaces
Differential Geometry
2009-07-02 v2 Statistics Theory
Statistics Theory
Abstract
We give a short proof of the systolic inequality for the n-dimensional torus. The proof uses minimal hypersurfaces. It is based on the Schoen-Yau proof that an n-dimensional torus admits no metric of positive scalar curvature.
Cite
@article{arxiv.0903.5299,
title = {Systolic inequalities and minimal hypersurfaces},
author = {Larry Guth},
journal= {arXiv preprint arXiv:0903.5299},
year = {2009}
}
Comments
5 pages. Accepted for publication in GAFA