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.
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Guth, L. Systolic Inequalities and Minimal Hypersurfaces. Geom. Funct. Anal. 19, 1688–1692 (2010). https://doi.org/10.1007/s00039-010-0052-0
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DOI: https://doi.org/10.1007/s00039-010-0052-0