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arXiv · 0903.5299

Systolic inequalities and minimal hypersurfaces

Larry Guth
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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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Larry Guth. 2009-07-02. Systolic inequalities and minimal hypersurfaces. https://arxiv.org/abs/0903.5299

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