Quantitative uniqueness for mean curvature flow
Tobias Holck Colding, William P. Minicozzi II
TL;DR
This paper enhances the understanding of the uniqueness of blowups in mean curvature flow by providing a stronger, effective version of the uniqueness result, with several important implications.
Contribution
It introduces a more robust, effective approach to the uniqueness of blowups in mean curvature flow, extending previous methods.
Findings
Stronger effective uniqueness of blowups established
Implications for the analysis of mean curvature flow
Enhanced methods for studying singularities
Abstract
We show how to use the arguments of [CM2] to get a stronger effective version of uniqueness of blowups that has a number of consequences.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Mathematical Dynamics and Fractals