Systolic inequalities and minimal hypersurfaces

Details Systolic inequalities and minimal hypersurfaces Systolic inequalities and minimal hypersurfaces

2009-03-31

arxiv.org/abs/0903.5299v2

Mathematics

Differential Geometry

5 pages. Accepted for publication in GAFA

Scientific paper

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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