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arXiv 2018-01-22 2 views

Local non-collapsing of volume for the Lagrangian mean curvature flow

Smoczyk, Knut

Original · EN

We prove an optimal control on the time-dependent measure of a measurable set under a reparametrized Lagrangian mean curvature flow of almost calibrated submanifolds in a Calabi-Yau manifold. Moreover we give a classification of those Lagrangian translating solitons in Cᵐ that evolve by this reparametrized flow

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