Regularity of optimal transport maps on multiple products of spheres

Preprint English OPEN
Figalli, Alessio; Kim, Young-Heon; McCann, Robert J.;
(2010)
  • Subject: 35J60, 35B65, 49K20, 49N60 | Mathematics - Analysis of PDEs | Mathematics - Differential Geometry

This article addresses regularity of optimal transport maps for cost="squared distance" on Riemannian manifolds that are products of arbitrarily many round spheres with arbitrary sizes and dimensions. Such manifolds are known to be non-negatively cross-curved [KM2]. Und... View more