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math.DG2023
Entire solutions of two-convex Lagrangian mean curvature flows
Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang
Given an entire function on , we consider the graph of as a Lagrangian submanifold of , and deform it by the mean curvature flow in $…
math.DG2023
Mean Curvature Flows of Two-Convex Lagrangians
Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang
We prove regularity, global existence, and convergence of Lagrangian mean curvature flows in the two-convex case. Such results were previously only known in the convex case, of whi…
math.DG2023
A New Monotone Quantity in Mean Curvature Flow Implying Sharp Homotopic Criteria
Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang
A new monotone quantity in graphical mean curvature flows of higher codimensions is identified in this work. The submanifold deformed by the mean curvature flow is the graph of a m…