Uniqueness theorems of self-conformal solutions to inverse curvature flows

It is known from the literature that round spheres are the only closed homothetic self-similar solutions to the inverse mean curvature flow and parabolic curvature flows by degree -1 homogeneous functions of principal curvatures in the Euclidean space. In this article, we prove that the round sphere...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2020-11, Vol.148 (11), p.4967-4982
Hauptverfasser: Chin, Nicholas, Fong, Frederick, Wan, Jingbo
Format: Artikel
Sprache:eng
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