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Displaying similar documents to “Curvature blow-up in perturbations of minimal cones evolving by mean curvature flow”

Introduction to mean curvature flow

Roberta Alessandroni (2008-2009)

Séminaire de théorie spectrale et géométrie

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This is a short overview on the most classical results on mean curvature flow as a flow of smooth hypersurfaces. First of all we define the mean curvature flow as a quasilinear parabolic equation and give some easy examples of evolution. Then we consider the M.C.F. on convex surfaces and sketch the proof of the convergence to a round point. Some interesting results on the M.C.F. for entire graphs are also mentioned. In particular when we consider the case of dimension one, we can compute...