Codimension two mean curvature flow of entire graphs

Publication date: 20 November 2024

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Flows related to mean curvature (53E10)

Cites Work

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Geometric flows with rough initial data
Mean curvature flow of contractions between Euclidean spaces
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
Mean curvature evolution of entire graphs
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Regularity theory for mean curvature flow
Long-time existence and convergence of graphic mean curvature flow in arbitrary codimension.
Mean curvature flow of area decreasing maps between Riemann surfaces
Evolution of area-decreasing maps between two-dimensional Euclidean spaces
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Graphical mean curvature flow with bounded bi-Ricci curvature
Evolution of contractions by mean curvature flow
Lagrangian mean curvature flow for entire Lipschitz graphs
Homotopy of area decreasing maps by mean curvature flow
Mean curvature flow without singularities
Uniqueness of entire graphs evolving by mean curvature flow
Curvature decay estimates of graphical mean curvature flow in higher codimensions
Mean Curvature Flow in Higher Codimension: Introduction and Survey
On graphic Bernstein type results in higher codimension
Existence and non-existence of minimal graphs
Minimal graphs of arbitrary codimension in Euclidean space with bounded 2-dilation

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