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arxiv: math/0510462 · v2 · submitted 2005-10-21 · 🧮 math.DG

Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces

classification 🧮 math.DG
keywords curvatureconvexflowhypersurfacesself-similarsolutionsspacecharacterization
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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 $\R^{n+1}$.

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