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arXiv · 1009.1083

Finite Time Singularities for Lagrangian Mean Curvature Flow

André Neves
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Abstract

Given any embedded Lagrangian on a four dimensional compact Calabi-Yau, we find another Lagrangian in the same Hamiltonian isotopy class which develops a finite time singularity under mean curvature flow. This contradicts a weaker version of the Thomas-Yau conjecture regarding long time existence and convergence of Lagrangian mean curvature flow.

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André Neves. 2012-05-07. Finite Time Singularities for Lagrangian Mean Curvature Flow. https://arxiv.org/abs/1009.1083

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