On the waist and width inequality in complete 3-manifolds with positive scalar curvature

Yevgeny Liokumovich; Zhichao Wang

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arXiv · 2308.04044

On the waist and width inequality in complete 3-manifolds with positive scalar curvature

Yevgeny Liokumovich·Zhichao Wang

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Abstract

We show that a complete non-compact 3-manifold with scalar curvature bounded below by a positive constant admits a singular foliation by surfaces of controlled area and diameter.

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Yevgeny Liokumovich, Zhichao Wang. 2023-08-08. On the waist and width inequality in complete 3-manifolds with positive scalar curvature. https://arxiv.org/abs/2308.04044

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