The extension and convergence of mean curvature flow in higher codimension

DOI10.1090/tran/7281zbMath1380.53076arXiv1104.0971OpenAlexW2964088204MaRDI QIDQ4600447

Fei Ye, En-Tao Zhao, Hong-Wei Xu, Ke Feng Liu

Publication date: 9 January 2018

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

Full work available at URL: https://arxiv.org/abs/1104.0971

zbMATH Keywords

mean curvature flowsubmanifoldconvergence theoremmaximal existence timeintegral curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Related Items (9)

Ancient solutions of codimension two surfaces with curvature pinching in $mathbb{R}^4$ ⋮ Geometric, topological and differentiable rigidity of submanifolds in space forms ⋮ A class of inverse quotient curvature flow in the AdS-Schwarzschild manifold ⋮ Surface diffusion flow of arbitrary codimension in space forms ⋮ A sharp convergence theorem for the mean curvature flow in the sphere ⋮ On the mean curvature flow of submanifolds in the standard Gaussian space ⋮ Cylindrical estimates for mean curvature flow in hyperbolic spaces ⋮ Anisotropic flow of convex hypersurfaces by the square root of the scalar curvature ⋮ Ancient solution of mean curvature flow in space forms

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