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- W4298014804 abstract "We establish a min-max estimate on the volume width of a closed Riemannian manifold with nonnegative Ricci curvature. More precisely, we show that every closed Riemannian manifold with nonnegative Ricci curvature admits a PL Morse function whose level set volume is bounded in terms of the volume of the manifold. As a consequence of this sweep-out estimate, there exists an embedded, closed (possibly singular) minimal hypersurface whose volume is bounded in terms of the volume of the manifold." @default.
- W4298014804 created "2022-10-01" @default.
- W4298014804 creator A5044470316 @default.
- W4298014804 date "2014-08-19" @default.
- W4298014804 modified "2023-09-28" @default.
- W4298014804 title "Volume of minimal hypersurfaces in manifolds with nonnegative Ricci curvature" @default.
- W4298014804 doi "https://doi.org/10.48550/arxiv.1408.4470" @default.
- W4298014804 hasPublicationYear "2014" @default.
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