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Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces

2005/10/21 by Li, Guanghan, Salavessa, Isabel, Wu, Chuanxi
#53C24 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0510462

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 \Rn+1.

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