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A note on singular time of mean curvature flow

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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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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada

    Jingyi Chen & Weiyong He

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  1. Jingyi Chen
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  2. Weiyong He
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Correspondence to Weiyong He.

Additional information

J. Chen is partially supported by NSERC, and W. He is partially supported by a PIMS postdoctoral fellowship.

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Chen, J., He, W. A note on singular time of mean curvature flow. Math. Z. 266, 921–931 (2010). https://doi.org/10.1007/s00209-009-0604-x

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  • DOI: https://doi.org/10.1007/s00209-009-0604-x

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