46 citations · 178 across the 19 of their papers we have counts for
22 papers
Minimal equatorial fillings of low index
Jacob Bernstein, Daniel Ketover
We obtain restrictions on the geometry and topology of minimal equatorial fillings in of the lowest possible Morse index.
On the Willmore energy of Möbius bands
Jacob Bernstein, Daniel Ketover
We show that among Möbius bands in bounded by a great circle, the minimal Willmore energy is realized by an embedded minimal Möbius band with Morse index two. To pro…
Minimal equatorial fillings
Jacob Bernstein, Daniel Ketover
We show that a great circle in bounds embedded non-orientable minimal surfaces of unbounded genera and all possible non-zero Euler numbers. This answers a question o…
Orientable minimal submanifolds of low index in the sphere
Jacob Bernstein, Daniel Ketover
In this short note we prove a rigidity result for orientable minimal submanifolds in the round sphere of the lowest non-trivial Morse index. In particular, we show that the only cl…
Self-shrinkers whose asymptotic cones fatten
Daniel Ketover
For each positive integer we use variational methods to construct a genus self-shrinker in with entropy less than and prismatic symmetry group $\ma…
The Smale conjecture and min-max theory
Daniel Ketover, Yevgeny Liokumovich
We give a new proof of the Smale conjecture for and all lens spaces using minimal surfaces and min-max theory. For , the conjecture was first proved…