Recognition: unknown
mathcal{F}-stability for self-shrinking solutions to mean curvature flow
classification
🧮 math.DG
keywords
codimensionmathcalarbitrarycurvatureflowmeanresultsself-shrinking
read the original abstract
In this paper, we formulate the notion of the $\mathcal{F}$-stability of self-shrinking solutions to mean curvature flow in arbitrary codimension. Then we give some classifications of the $\mathcal{F}$-stable self-shrinkers in arbitrary codimension, in codimension one case, our results reduce to Colding-Minicozzi's results.
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