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A note on sigular time of mean curvature flow

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arxiv 0810.3883 v1 pith:JGQ2PKVY submitted 2008-10-21 math.DG math.AP

classification math.DGmath.AP
keywords curvatureflowmanifoldmeanriemanniantimeambientbounded
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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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