70 citations · 514 across the 53 of their papers we have counts for
4 papers · 1 filter
On discontinuity of planar optimal transport maps
Otis Chodosh, Vishesh Jain, Michael Lindsey +2
Consider two bounded domains and in , and two sufficiently regular probability measures and supported on them. By Brenier's theorem, there exists a…
A volume comparison theorem for asymptotically hyperbolic manifolds
S. Brendle, O. Chodosh
We define a notion of renormalized volume of an asymptotically hyperbolic manifold. Moreover, we prove a sharp volume comparison theorem for metrics with scalar curvature at least…
Rotational Symmetry of Conical Kähler-Ricci Solitons
Otis Chodosh, Frederick Tsz-Ho Fong
We show that expanding Kähler-Ricci solitons which have positive holomorphic bisectional curvature and are asymptotic to Kähler cones at infinity must be the U(n)-rotationally symm…
Expanding Ricci Solitons Asymptotic to Cones
Otis Chodosh
We show that an expanding gradient Ricci solitons which is asymptotic to a cone at infinity in a certain sense must be rotationally symmetric.