70 citations · 514 across the 53 of their papers we have counts for
4 papers · 2 filters
Area-minimizing surfaces in asymptotically flat three-manifolds
Otis Chodosh, Michael Eichmair
We show that an asymptotically flat Riemannian three-manifold with non-negative scalar curvature is isometric to flat if it admits an unbounded area-minimizing surfa…
Minimal hypersurfaces with bounded index
Otis Chodosh, Daniel Ketover, Davi Maximo
We prove a structural theorem that provides a precise local picture of how a sequence of closed embedded minimal hypersurfaces with uniformly bounded index (and volume if the ambie…
Isoperimetric structure of asymptotically conical manifolds
Otis Chodosh, Michael Eichmair, Alexander Volkmann
We study the isoperimetric structure of Riemannian manifolds that are asymptotic to cones with non-negative Ricci curvature. Specifically, we generalize to this setting the seminal…
Effective versions of the positive mass theorem
Alessandro Carlotto, Otis Chodosh, Michael Eichmair
The study of stable minimal surfaces in Riemannian -manifolds with non-negative scalar curvature has a rich history. In this paper, we prove rigidity of such surfaces w…