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

Yevgeny Liokumovich; Zhichao Wang

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

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arxiv 2308.04044 v1 pith:2NUDZ7AL submitted 2023-08-08 math.DG math.MG

Yevgeny Liokumovich , Zhichao Wang This is my paper · ORCID

classification math.DGmath.MG

keywords completecurvaturepositivescalaradmitsareabelowbounded

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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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