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20082023
most citedA Topological Property of Asymptotically Conical Self-Shrinkers of Small Entropy

54 citations · 160 across the 29 of their papers we have counts for

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Showing 2020 · math.DGShow all

3 papers · 2 filters

math.DG2020

Colding Minicozzi Entropy in Hyperbolic Space

Jacob Bernstein

This note introduces a notion of entropy for submanifolds of hyperbolic space analogous to the one introduced by Colding and Minicozzi for submanifolds of Euclidean space. Several…

math.DG2020★ 4 cited

Closed hypersurfaces of low entropy in are isotopically trivial

Jacob Bernstein, Lu Wang

We show that any closed connected hypersurface in with entropy less than or equal to that of the round cylinder is smoothly isotopic to the standard three-sphere.

math.DG2020

A mountain-pass theorem for asymptotically conical self-expanders

Jacob Bernstein, Lu Wang

We develop a min-max theory for asymptotically conical self-expanders of mean curvature flow. In particular, we show that given two distinct strictly stable self-expanders that are…