A monotonicity formula and Type-II singularities for the mean curvature flow

2013/12/17 by Yongbing Zhang, Zhang, Yongbing
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1312.4775

openalex publication_date 2013/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a monotonicity formula for the mean curvature flow. We also apply this monotonicity formula to study the asymptotic behavior of eternal solutions.

Citations

• Translating graphs by mean curvature flow

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