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arXiv · 2012.12478

Waist inequality for 3-manifolds with positive scalar curvature

Yevgeny Liokumovich·Davi Maximo
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Abstract

We construct singular foliations of compact three-manifolds $(M^3,h)$ with scalar curvature $R_h\geq \Lambda_0>0$ by surfaces of controlled area, diameter and genus. This extends Urysohn and waist inequalities of Gromov-Lawson and Marques-Neves.

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Yevgeny Liokumovich, Davi Maximo. 2020-12-23. Waist inequality for 3-manifolds with positive scalar curvature. https://arxiv.org/abs/2012.12478

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