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arXiv:2205.00927 [math.DG]AbstractReferencesReviewsResources

Self-similar solutions to flows by negative powers of curvature

Shanze Gao

Published 2022-05-02Version 1

We consider self-similar solutions to curvature flows in some warped product manifolds, which corresponding speed function is of negative power and satisfies suitable conditions. For all negative powers, we prove such self-similar solutions must be a slice in warped product manifolds if the hypersurface is closed and strictly convex.

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