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Ancient solutions to mean curvature flow for isoparametric submanifolds

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 نشر من قبل Xiaobo Liu
 تاريخ النشر 2019
  مجال البحث
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Mean curvature flow for isoparametric submanifolds in Euclidean spaces and spheres was studied by the authors in [LT]. In this paper, we will show that all these solutions are ancient solutions. We also discuss rigidity of ancient mean curvature flows for hypersurfaces in spheres and its relation to the Cherns conjecture on the norm of the second fundamental forms of minimal hypersurfaces in spheres.



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