Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces

Details Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces

2005-10-21

arxiv.org/abs/math/0510462v2

Mathematics

Differential Geometry

12 pages, Latex v2 is a largely extended new version

Scientific paper

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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