Mean curvature flow of contractions between Euclidean spaces

DOI10.1007/S00526-016-1043-2zbMath1355.53060OpenAlexW2489197341WikidataQ126203181 ScholiaQ126203181MaRDI QIDQ502261

Felix Lubbe

Publication date: 3 January 2017

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

Full work available at URL: https://doi.org/10.1007/s00526-016-1043-2

zbMATH Keywords

long-time solutionuniform decaygraphs of maps

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Stability of self-similar solutions to geometric flows ⋮ Evolution of area-decreasing maps between two-dimensional Euclidean spaces ⋮ Graphical mean curvature flow with bounded bi-Ricci curvature

Cites Work

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• Lagrangian mean curvature flow for entire Lipschitz graphs. II
• Subsets of Grassmannians preserved by mean curvature flows
• Mean curvature evolution of entire graphs
• Interior estimates for hypersurfaces moving by mean curvature
• Four-manifolds with positive curvature operator
• Regularity theory for mean curvature flow
• Gauss maps of the mean curvature flow
• Deforming area preserving diffeomorphism of surfaces by mean curvature flow.
• Long-time existence and convergence of graphic mean curvature flow in arbitrary codimension.
• Three-manifolds with positive Ricci curvature
• Two-dimensional graphs moving by mean curvature flow
• Longtime existence of the Lagrangian mean curvature flow
• Evolution of contractions by mean curvature flow
• Lagrangian mean curvature flow for entire Lipschitz graphs
• Homotopy of area decreasing maps by mean curvature flow
• Uniqueness and pseudolocality theorems of the mean curvature flow
• Bernstein theorems for length and area decreasing minimal maps
• Mean curvature flow of the graphs of maps between compact manifolds
• On graphic Bernstein type results in higher codimension
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Mean curvature flows and isotopy of maps between spheres

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