Evolving pinched submanifolds of the sphere by mean curvature flow

DOI10.1007/S00209-022-03179-1OpenAlexW3018955726MaRDI QIDQ2682942

Yanyan Li

Publication date: 1 February 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12259

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Flows related to mean curvature (53E10)

Related Items (1)

A sharp convergence theorem for the mean curvature flow in the sphere

Cites Work

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• Deforming hypersurfaces of the sphere by their mean curvature
• Mean curvature flow of pinched submanifolds to spheres
• Flow by mean curvature of convex surfaces into spheres
• Mean curvature flow with surgeries of two-convex hypersurfaces
• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• Submanifolds with parallel mean curvature vector in spheres
• Codimension two surfaces pinched by normal curvature evolving by mean curvature flow
• Three-manifolds with positive Ricci curvature
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Submanifolds of constant mean curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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