A note on sigular time of mean curvature flow

2008/10/21 by Jingyi Chen, Chen, Jingyi, Weiyong He +1
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.0810.3883

arxiv created 2008/10/21 · arxiv updated 2009/12/01

Abstract

We show that mean curvature flow of a compact submanifold in a complete Riemannian manifold cannot form singularity at time infinity if the ambient Riemannian manifold has bounded geometry and satisfies certain curvature and volume growth conditions .

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