Otis Chodosh

activity

20112026

most citedMinimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates

70 citations · 514 across the 53 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.DG2017★ 9 cited

Asymptotically flat three-manifolds contain minimal planes

Otis Chodosh, Daniel Ketover

Let $(M, g)$ be an asymptotically flat $3$ -manifold containing no closed embedded minimal surfaces. We prove that for every point $p \in M$ there exists a complete properly embedded…

math.DG2017★ 12 cited

On far-outlying CMC spheres in asymptotically flat Riemannian $3$ -manifolds

Otis Chodosh, Michael Eichmair

We extend the Lyapunov-Schmidt analysis of outlying stable CMC spheres in the work of S. Brendle and the second-named author to the "far-off-center" regime and to include general S…

math.DG2017

Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian three-manifolds

Otis Chodosh, Michael Eichmair

Let $(M, g)$ be a complete Riemannian $3$ -manifold that is asymptotic to Schwarzschild with positive mass and whose scalar curvature vanishes. We \textsl{unconditionally} character…

Asymptotically flat three-manifolds contain minimal planes

On far-outlying CMC spheres in asymptotically flat Riemannian 3-manifolds

Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian three-manifolds

On far-outlying CMC spheres in asymptotically flat Riemannian $3$ -manifolds