Smooth Optimal Transportation on Hyperbolic Space
نویسندگان
چکیده
In this paper, we will show that the cost − cosh ◦dHn is a regular cost, meaning that minimizing this cost on hyperbolic space yields a smooth optimal map between two given distributions of mass which satisfies suitable hypotheses. We show this by proving this cost satisfies Ma-Trudinger-Wang’s conditions and by investigating notions of convexity under this cost.
منابع مشابه
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