Lectures on Mean Curvature Flow (MAT 1063 HS)
نویسنده
چکیده
The mean curvature flow arises material science and condensed matter physics and has been recently successfully applied by Huisken and Sinestrari to topological classification of surfaces and submanifolds. It is closely related to the Ricci and inverse mean curvature flow. The most interesting aspect of the mean curvature flow is formation of singularities, which is the main theme of these lectures. Background on geometry of surfaces and some technical statements are given in appendices. (we often use different notation for the same objects, as we did not decide on the notation.)
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