论文标题

具有正标曲率的三个脉冲的腰部不平等

Waist inequality for 3-manifolds with positive scalar curvature

论文作者

Liokumovich, Yevgeny, Maximo, Davi

论文摘要

我们用标态曲率$ r_h \geqλ_0> 0 $ 0 $构建紧凑型三个manifolds $(m^3,h)$的奇异叶子。这扩展了格罗莫夫律森和玛克斯恩维斯的Urysohn和腰部不平等。

We construct singular foliations of compact three-manifolds $(M^3,h)$ with scalar curvature $R_h\geq Λ_0>0$ by surfaces of controlled area, diameter and genus. This extends Urysohn and waist inequalities of Gromov-Lawson and Marques-Neves.

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