PAD416 发表于 2025-3-23 10:51:16
Singular behaviour of convex surfacesIn the next two sections we shall see some results showing that, roughly speaking, the convexity properties of a surface evolving by mean curvature flow improve when a singularity is formed. We begin with the case of convex surfaces.你正派 发表于 2025-3-23 17:15:52
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Mean curvature flow with surgeriesIn this section we describe the mean curvature flow with surgeries which has been defined in for two-convex surfaces of dimension . ≥ 3. Such a construction is inspired by the one which was introduced by Hamilton for the Ricci flow and which enabled Perelman to prove the geometrization conjecture for three-dimensional manifolds.孤僻 发表于 2025-3-24 01:48:22
Higher dimensionsUnlike surfaces, the use of the mean curvature flow in higher dimensions to prove isoperimetric inequalities is severely limited by the possibility of development of singularities. The reader is referred to Sinestrari’s course in this volume for an updated discussion on these topics.爵士乐 发表于 2025-3-24 06:09:29
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Mean Curvature Flow and Isoperimetric Inequalities978-3-0346-0213-6Series ISSN 2297-0304 Series E-ISSN 2297-0312路标 发表于 2025-3-24 13:18:56
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