Geodesic
Finite time singularities for Lagrangian mean curvature flow
André Neves1
1 Department of Mathematics, Imperial College London, South Kensington Campus, London S27 2AZ, United Kingdom
Annals of mathematics, Tome 177 (2013) no. 3, pp. 1029-1076.

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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 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.
DOI : 10.4007/annals.2013.177.3.5

André Neves 1

1 Department of Mathematics, Imperial College London, South Kensington Campus, London S27 2AZ, United Kingdom 
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André Neves. Finite time singularities for Lagrangian mean curvature flow. Annals of mathematics, Tome 177 (2013) no. 3, pp. 1029-1076. doi : 10.4007/annals.2013.177.3.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.177.3.5/

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