On the c-concavity with respect to the quadratic cost on a manifold
英文摘要：
Pushing a little forward an approach proposed by Villani, we are going to prove that in the Riemannian setting the condition $\nabla^2 f< g$ implies that $f$ is $c$-concave with respect to the quadratic cost as soon as it has a sufficiently small $C^1$-norm. From this, we deduce a sufficient condition for the optimality of transport maps.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
