Finite time singularities for Lagrangian mean curvature flow

André Neves

doi:https://doi.org/10.4007/annals.2013.177.3.5

Abstract

Given any embedded Lagrangian on a four-dimensional compact Calabi-Yau, we find another Lagrangian in the same Hamiltonian isotopy class that 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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Finite time singularities for Lagrangian mean curvature flow

Abstract

Authors