Lagrangian mean curvature flow of surfaces with mean curvature bound

Sourav Ghosh

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arXiv · 2503.22918

Lagrangian mean curvature flow of surfaces with mean curvature bound

Sourav Ghosh

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Abstract

Let $L_t$ be a zero Maslov Lagrangian mean curvature flow in $\mathbb{C}^2.$ We show that if the mean curvature stays uniformly bounded along the flow, then the tangent flow at a singular point is unique i.e. the limit of the parabolic rescalings does not depend on the chosen sequence of rescalings.

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Sourav Ghosh. 2025-03-29. Lagrangian mean curvature flow of surfaces with mean curvature bound. https://arxiv.org/abs/2503.22918

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