Codimension two surfaces pinched by normal curvature evolving by mean curvature flow

DOI10.1016/j.anihpc.2016.10.010zbMath1377.53084OpenAlexW2560813663MaRDI QIDQ1679726

Peng Zhang

Publication date: 21 November 2017

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://qmro.qmul.ac.uk/xmlui/handle/123456789/19001

zbMATH Keywords

nonlinear parabolic equationsmean curvaturecurvature flow

Mathematics Subject Classification ID

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

Related Items (7)

Ancient solutions of codimension two surfaces with curvature pinching in $mathbb{R}^4$ ⋮ Evolving pinched submanifolds of the sphere by mean curvature flow ⋮ A sharp convergence theorem for the mean curvature flow in the sphere ⋮ ANCIENT SOLUTIONS OF CODIMENSION TWO SURFACES WITH CURVATURE PINCHING - RETRACTED ⋮ Minimal surfaces in a unit sphere pinched by intrinsic curvature and normal curvature ⋮ ANCIENT SOLUTIONS OF CODIMENSION TWO SURFACES WITH CURVATURE PINCHING – RETRACTION ⋮ Mean curvature flow in null hypersurfaces and the detection of MOTS

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
• Three-manifolds with positive Ricci curvature
• Submanifolds of constant mean curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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