Mean curvature flow of the graphs of maps between compact manifolds

DOI10.1090/S0002-9947-2011-05204-9zbMath1242.53081OpenAlexW1984423569MaRDI QIDQ3102721

Kuo-Wei Lee, Yng-Ing Lee

Publication date: 7 December 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2011-05204-9

zbMATH Keywords

mean curvature flowevolution equation\(k\)-dilation maparea-decreasing map

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Global submanifolds (53C40)

Related Items (11)

Vanishing theorems for harmonic mappings into non-negatively curved manifolds and their applications ⋮ Mean curvature flow of area decreasing maps between Riemann surfaces ⋮ Geometry of fibered graphs of mappings ⋮ Evolution of area-decreasing maps between two-dimensional Euclidean spaces ⋮ Homotopy of area decreasing maps by mean curvature flow ⋮ Graphical mean curvature flow ⋮ Mean curvature flow of contractions between Euclidean spaces ⋮ Bernstein theorems for length and area decreasing minimal maps ⋮ Curvature decay estimates of graphical mean curvature flow in higher codimensions ⋮ Mean curvature flow of compact spacelike submanifolds in higher codimension ⋮ Evolution of contractions by mean curvature flow

Cites Work

• Unnamed Item
• Mean curvature flow of spacelike graphs
• Flow by mean curvature of convex surfaces into spheres
• A local regularity theorem for mean curvature flow
• Asymptotic behavior for singularities of the mean curvature flow
• Long-time existence and convergence of graphic mean curvature flow in arbitrary 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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