most citedTowards the smoothness of optimal maps on Riemannian submersions and Riemannian products (of round spheres in particular)

14 citations · 23 across the 4 of their papers we have counts for

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math.AP2010★ 2 cited

Regularity of optimal transport maps on multiple products of spheres

Alessio Figalli, Young-Heon Kim, Robert J. McCann

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 s…