Finite Time Singularities for Lagrangian Mean Curvature Flow

Details Finite Time Singularities for Lagrangian Mean Curvature Flow Finite Time Singularities for Lagrangian Mean Curvature Flow

2010-09-06

arxiv.org/abs/1009.1083v2

Mathematics

Differential Geometry

Typos corrected, Non Fattening Lemma 5.7 added, 32 pages, 4 figures. Submitted

Scientific paper

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
simplified version of the Thomas-Yau conjecture regarding long time existence
and convergence of Lagrangian mean curvature flow.

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