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Some recent developments in Lagrangian mean curvature flows

By Mu-Tao Wang

Abstract

We review some recent results on the mean curvature flows of Lagrangian submanifolds from the perspective of geometric partial differential equations. These include global existence and convergence results, characterizations of first-time singularities, and constructions of self-similar solutions.Comment: 20 page

Topics: Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, 53C44 (35K93)
Year: 2011
OAI identifier: oai:arXiv.org:1104.3355
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