46 citations · 178 across the 19 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.DG2017★ 16 cited
Minimal two-spheres in three-spheres
Robert Haslhofer, Daniel Ketover
We prove that any manifold diffeomorphic to and endowed with a generic metric contains at least two embedded minimal two-spheres. The existence of at least one minimal two-sp…
math.DG2017★ 6 cited
On the existence of unstable minimal Heegaard surfaces
Daniel Ketover, Yevgeny Liokumovich
We prove that for generic metrics on a 3-sphere, the minimal surface obtained from the min-max procedure of Simon-Smith has index 1. We prove an analogous result for minimal surfac…
math.DG2017★ 9 cited
Asymptotically flat three-manifolds contain minimal planes
Otis Chodosh, Daniel Ketover
Let be an asymptotically flat -manifold containing no closed embedded minimal surfaces. We prove that for every point there exists a complete properly embedded…