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math.DG2023★ 1 cited
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…
math.DG2023
Free boundary minimal disks in convex balls
Robert Haslhofer, Daniel Ketover
In this paper, we prove that every strictly convex 3-ball with nonnegative Ricci-curvature contains at least 3 embedded free-boundary minimal 2-disks for any generic metric, and at…