Waist inequality for 3-manifolds with positive scalar curvature

2020/12/23 by Liokumovich, Yevgeny, Maximo, Davi · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2012.12478

Abstract

We construct singular foliations of compact three-manifolds (M³,h) with scalar curvature R_h≥ Λ₀>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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• Mean curvature flow through singularities

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