Singularities of mean convex level set flow in general ambient manifolds

DOI10.1016/j.aim.2018.02.008zbMath1387.53052arXiv1508.00840OpenAlexW2963628510WikidataQ130113597 ScholiaQ130113597MaRDI QIDQ1744570

Robert Haslhofer, Or Hershkovits

Publication date: 23 April 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00840

zbMATH Keywords

mean curvature flowlevel set flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

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• Proof of the positive mass theorem. II
• Null mean curvature flow and outermost MOTS
• Topological change in mean convex mean curvature flow
• Minimal varieties in Riemannian manifolds
• Mean Curvature Flow of Mean Convex Hypersurfaces
• On Brendle’s Estimate for the Inscribed Radius Under Mean Curvature Flow
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Elliptic regularization and partial regularity for motion by mean curvature
• The nature of singularities in mean curvature flow of mean-convex sets
• The size of the singular set in mean curvature flow of mean-convex sets
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

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