2 citations · 3 across the 2 of their papers we have counts for
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Generic regularity for minimizing hypersurfaces in dimension 11
Otis Chodosh, Christos Mantoulidis, Felix Schulze +1
We prove that area-minimizing hypersurfaces are generically smooth in ambient dimension in the context of the Plateau problem and of area minimization in integral homology. Fo…
The p-widths of a polygon
Otis Chodosh, Sithipont Cholsaipant
The -widths are a nonlinear analogue of the spectrum of the Laplacian. We prove that each -width of a polygon in is achieved by a union of billiard trajectorie…
Complete Riemannian 4-manifolds with uniformly positive scalar curvature
Otis Chodosh, Davi Maximo, Anubhav Mukherjee
We obtain topological obstructions to the existence of a complete Riemannian metric with uniformly positive scalar curvature on certain (non-compact) -manifolds. In particular,…
Mean curvature flow with generic initial data II
Otis Chodosh, Kyeongsu Choi, Felix Schulze
We show that the mean curvature flow of a generic closed surface in avoids multiplicity one tangent flows that are not round spheres/cylinders. In particular, we sho…
Volume growth of 3-manifolds with scalar curvature lower bounds
Otis Chodosh, Chao Li, Douglas Stryker
We give a new proof of a recent result of Munteanu--Wang relating scalar curvature to volume growth on a -manifold with non-negative Ricci curvature. Our proof relies on the the…