Low entropy and the mean curvature flow with surgery
In this article, we extend the mean curvature flow with surgery to mean convex
hypersurfaces with entropy less than Λ n-2. In particular, 2-convexity is not assumed. Next
we show the surgery flow with just the initial convexity assumption H-⟨ x, ν⟩ 2> 0 is possible
and as an application we use the surgery flow to show that smooth n-dimensional closed
self shrinkers with entropy less than Λ n-2 are isotopic to the round n-sphere.
hypersurfaces with entropy less than Λ n-2. In particular, 2-convexity is not assumed. Next
we show the surgery flow with just the initial convexity assumption H-⟨ x, ν⟩ 2> 0 is possible
and as an application we use the surgery flow to show that smooth n-dimensional closed
self shrinkers with entropy less than Λ n-2 are isotopic to the round n-sphere.
Abstract
In this article, we extend the mean curvature flow with surgery to mean convex hypersurfaces with entropy less than . In particular, 2-convexity is not assumed. Next we show the surgery flow with just the initial convexity assumption is possible and as an application we use the surgery flow to show that smooth n-dimensional closed self shrinkers with entropy less than are isotopic to the round n-sphere.
Springer
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