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arXiv · 1510.07183

Self-shrinkers to the mean curvature flow asymptotic to isoparametric cones

Po-Yao Chang·Joel Spruck
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Abstract

In this paper we construct an end of a self-similar shrinking solution of the mean curvature flow asymptotic to an isoparametric cone C and lying outside of C. We call a cone C in $R^{n+1}$ an isoparametric cone if C is the cone over a compact embedded isoparametric hypersurface $Γ\subset S^n$. The theory of isoparametic hypersurfaces is extremely rich and there are infinitely many distinct classes of examples, each with infinitely many members.

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Po-Yao Chang, Joel Spruck. 2015-10-24. Self-shrinkers to the mean curvature flow asymptotic to isoparametric cones. https://arxiv.org/abs/1510.07183

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