Symmetric hypersurfaces in Riemannian manifolds contracting to Lie groups by their mean curvature

DOI10.1007/BF01189952zbMath0921.53025OpenAlexW2065019872WikidataQ115393943 ScholiaQ115393943MaRDI QIDQ1908908

Knut Smoczyk

Publication date: 5 May 1996

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189952

zbMATH Keywords

mean curvature flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (6)

Lagrangian mean curvature flow of Whitney spheres ⋮ Mean curvature flow and Riemannian submersions ⋮ Mean curvature flow of monotone Lagrangian submanifolds ⋮ Type I singularities in the curve shortening flow associated to a density ⋮ The curve shortening flow with density of a spherical curve in codimension two ⋮ Curvature decay estimates of graphical mean curvature flow in higher codimensions

Cites Work

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• Flow by mean curvature of convex surfaces into spheres
• Motion of level sets by mean curvature. I
• Asymptotic behavior for singularities of the mean curvature flow
• Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
• On rotationally symmetric mean curvature flow
• Limit shape of the cross-section of shrinking doughnuts
• The symmetric `doughnut' evolving by its mean curvature
• Implicit time discretization for the mean curvature flow equation
• Three-manifolds with positive Ricci curvature
• Mean curvature flow through singularities for surfaces of rotation
• The fundamental equations of a submersion
• Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature
• Elliptic regularization and partial regularity for motion by mean curvature
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

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