The limit of the inverse mean curvature flow on a torus

DOI10.1090/proc/15812zbMath1497.53014arXiv2010.10495OpenAlexW3093929396MaRDI QIDQ5081534

Brian Harvie

Publication date: 15 June 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.10495

zbMATH Keywords

energy estimateGauss curvaturecurvature blowuprotationally symmetric embedded torus

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Flows related to mean curvature (53E10)

Cites Work

• On the mean curvature evolution of two-convex hypersurfaces
• On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
• Asymptotic behavior for singularities of the mean curvature flow
• Interior estimates for hypersurfaces moving by mean curvature
• Flow of nonconvex hypersurfaces into spheres
• Higher regularity of the inverse mean curvature flow
• A compactness theorem for surfaces with \(L_ p\)-bounded second fundamental form
• The inverse mean curvature flow and the Riemannian Penrose inequality
• The size of the singular set of a type I Ricci flow
• Bounded diameter under mean curvature flow
• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• Remarks on the inverse mean curvature flow

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