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20092024
most citedA Topological Property of Asymptotically Conical Self-Shrinkers of Small Entropy

54 citations · 157 across the 23 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.DG2015★ 28 cited

Topology of Closed Hypersurfaces of Small Entropy

Jacob Bernstein, Lu Wang

We use a weak mean curvature flow together with a surgery procedure to show that all closed hypersurfaces in with entropy less than or equal to that of $\mathbb{S}^2…

math.DG2015★ 3 cited

Geometry of Two-dimensional Self-shrinkers

Lu Wang

We prove a local graphical theorem for two-dimensional self-shrinkers away from the origin. As applications, we study the asymptotic behavior of noncompact self-shrinkers with fini…

math.DG2015★ 54 cited

A Topological Property of Asymptotically Conical Self-Shrinkers of Small Entropy

Jacob Bernstein, Lu Wang

For any asymptotically conical self-shrinker with entropy less than or equal to that of a cylinder we show that the link of the asymptotic cone must separate the unit sphere into e…