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arXiv · 2302.02512

Mean Curvature Flows of Two-Convex Lagrangians

Chung-Jun Tsai·Mao-Pei Tsui·Mu-Tao Wang
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Abstract

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 which the current work represents a significant improvement. The proof relies on a newly discovered monotone quantity that controls two-convexity. Through a unitary transformation, same result for the mean curvature flow of area-decreasing Lagrangian submanifolds were established.

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Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang. 2023-02-06. Mean Curvature Flows of Two-Convex Lagrangians. https://arxiv.org/abs/2302.02512

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