Finite Time Singularities for Lagrangian Mean Curvature Flow
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🧮 math.DG
math.APmath.SG
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lagrangiancurvatureflowmeantimefiniteanothercalabi-yau
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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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