Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces

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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 $\R^{n+1}$.
12 pages, Latex v2 is a largely extended new version

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Differential Geometry, 53C24; 53C44

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http://salesiana.dossiersoluciones.com/handle/123456789/229557

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510462
 http://arxiv.org/abs/math/0510462

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arXiv