From the 1 of 15 linked papers with an AI index.
15 papers
No compromise in the liquid drop model
Otis Chodosh, Matilde Gianocca
We characterize minimizers in Gamow's liquid drop problem.
Minimal hypersurfaces of Morse index one
Otis Chodosh, Matilde Gianocca
The paper proves that any complete, connected, embedded minimal hypersurface in Euclidean space with finite total curvature and Morse index one is necessarily the higher-dimensiona…
On the Minkowski inequality near the sphere
Otis Chodosh, Michael Eichmair, Thomas Koerber
We construct a sequence of closed, axially symmetric surfaces that converges to the unit sphere in for…
Generic regularity for minimizing hypersurfaces in dimensions 9 and 10
Otis Chodosh, Christos Mantoulidis, Felix Schulze
We prove that singularities of area minimizing hypersurfaces can be perturbed away in ambient dimensions 9 and 10.
Immersions with small normal curvature
Otis Chodosh, Chao Li
We study Gromov's problem concerning minimal normal curvature immersions in the unit ball. In particular, we determine the minimal possible value of the normal curvature of an $S^n…
Stable minimal hypersurfaces in
Otis Chodosh, Chao Li, Paul Minter +1
We show that a complete, two-sided, stable minimal hypersurface in is flat.