Systolic inequalities and minimal hypersurfaces

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.

5 pages. Accepted for publication in GAFA

Cited by in corpus (1)

• Hyperellipticity and Klein bottle companionship in systolic geometry