Finite time singularities for Lagrangian mean curvature flow

• Autores: André Neves
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 177, Nº 3, 2013, págs. 1029-1076
• Idioma: inglés
• DOI: 10.4007/annals.2013.177.3.5
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• Resumen

  • 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