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W3102557108 abstract "Consider the mean curvature flow of an (n+1)-dimensional compact, mean convex region in Euclidean space (or, if n<7, in a Riemannian manifold). We prove that elements of the mth homotopy group of the complementary region can die only if there is a shrinking S k ×R n−k singularity for some k≤m. We also prove that for each m with 1≤m≤n, there is a nonempty open set of compact, mean convex regions K in R n+1 with smooth boundary ∂K for which the resulting mean curvature flow has a shrinking S m ×R n−m singularity." @default.
W3102557108 created "2020-11-23" @default.
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W3102557108 date "2012-03-30" @default.
W3102557108 modified "2023-09-27" @default.
W3102557108 title "Topological change in mean convex mean curvature flow" @default.
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W3102557108 doi "https://doi.org/10.1007/s00222-012-0397-0" @default.
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