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Non-collapsing in fully non-linear curvature flows

Andrews, Benjamin; McCoy, James; Langford, Matthew


We consider compact, embedded hypersurfaces of Euclidean spaces evolving by fully non-linear flows in which the normal speed of motion is a homogeneous degree one, concave or convex function of the principal curvatures, and prove a non-collapsing estimate: Precisely, the function which gives the curvature of the largest interior ball touching the hypersurface at each point is a subsolution of the linearized flow equation if the speed is concave. If the speed is convex then there is an analogous...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Annales de l Institut Henri Poincare
DOI: 10.1016/j.anihpc.2012.05.003


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