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Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces

Guanghan Li·Isabel Salavessa·Chuanxi Wu
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Abstract

We classify the self-similar solutions to a class of Weingarten curvature flow of connected compact convex hypersurfaces, isometrically immersed into space forms with non-positive curvature, and obtain a new characterization of a sphere in a Euclidean space $\R^{n+1}$.

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Guanghan Li, Isabel Salavessa, Chuanxi Wu. 2009-05-07. Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces. https://arxiv.org/abs/math/0510462

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