A monotonicity formula and Type-II singularities for the mean curvature flow
Yongbing Zhang
TL;DR
This paper introduces a new monotonicity formula for the mean curvature flow and uses it to analyze the asymptotic behavior of eternal solutions, shedding light on Type-II singularities.
Contribution
The paper presents a novel monotonicity formula for mean curvature flow and applies it to understand the asymptotics of eternal solutions.
Findings
New monotonicity formula for mean curvature flow
Insights into the asymptotic behavior of eternal solutions
Analysis of Type-II singularities
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.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Nonlinear Partial Differential Equations