54 citations · 160 across the 29 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.DG2014★ 2 cited
A Sharp Lower Bound for the Entropy of Closed Hypersurfaces up to Dimension Six
Jacob Bernstein, Lu Wang
In [5], Colding-Ilmanen-Minicozzi-White showed that within the class of closed smooth self-shrinkers in , the entropy is uniquely minimized at the round sphere. T…
math.DG2014★ 1 cited
One-dimensional projective structures, convex curves and the ovals of Benguria & Loss
Jacob Bernstein, Thomas Mettler
Benguria and Loss have conjectured that, amongst all smooth closed curves of length in the plane, the lowest possible eigenvalue of the operator was one. They obser…
math.DG2014★ 2 cited
A Remark on a Uniqueness Property of High Multiplicity Tangent Flows in Dimension Three
Jacob Bernstein, Lu Wang
In this note, we combine the work of Ilmanen and of Colding-Ilmanen-Minicozzi to observe a uniqueness property for tangent flows at the first singular time of a smooth mean curvatu…