Deforming hypersurfaces of the sphere by their mean curvature

DOI10.1007/BF01166458zbMath0626.53039WikidataQ125362491 ScholiaQ125362491MaRDI QIDQ580737

Gerhard Huisken

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/183687

zbMATH Keywords

mean curvature flowevolution equationtotally geodesicmean curvature vectorspherical spaceform

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Global submanifolds (53C40)

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Cites Work

• Flow by mean curvature of convex surfaces into spheres
• Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
• Three-manifolds with positive Ricci curvature
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• The Motion of a Surface by Its Mean Curvature. (MN-20)

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