Asymptotic behavior of Type III mean curvature flow on noncompact hypersurfaces

2014/03/02 by Liang Cheng, Cheng, Liang, Nataša Šešum +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.1403.0235

10 pages, a global version of functional is introduced, more applications are found

arxiv created 2014/11/06 · arxiv updated 2014/11/07

Abstract

In this paper, we introduce a monotonicity formula for the mean curvature flow which is related to self-expanders. Then we use the monotonicity to study the asymptotic behavior of Type III mean curvature flow on noncompact hypersurfaces.

Cited by

• A mean value inequality for the generalized self-expander type submanifolds and its application

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