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Mean curvature flow in submanifolds

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arxiv 1401.3401 v3 pith:C4NHQXGO submitted 2014-01-15 math.DG

Mean curvature flow in submanifolds

classification math.DG
keywords flowcurvatureexplicitmeansubmanifoldsarticleconstructedconverge
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We obtain explicit solutions of the mean curvature flow in some submanifolds of the Euclidean space. We give particularly an explicit solution of the flow of a hypersurface in the Lagrangian self-expander $L$ which is constructed in the article of Joyce, Lee and Tsui and show that it converge to a minimal one.

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