Titlebook: Regularity Theory for Mean Curvature Flow; Klaus Ecker Book 2004 Springer Science+Business Media New York 2004 Mean curvature.Ricci flow.c

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Introduction,Mean curvature flow evolves hypersurfaces in their normal direction with speed equal to the mean curvature at each point. It is the steepest descent flow for the area functional. In particular, minimal (zero mean curvature) hypersurfaces are stationary solutions.