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Motion of hypersurfaces by Gauss curvature

Andrews, Benjamin


We consider n-dimensional convex Euclidean hypersurfaces moving with normal velocity proportional to a positive power α of the Gauss curvature. We prove that hypersurfaces contract to points in finite time, and for α ∈ (1/(n + 2], 1/n] we also prove t

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
Source: Pacific Journal of Mathematics


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