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

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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Hauptverfasser: Liokumovich, Yevgeny, Wang, Zhichao
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2308.04044