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math.DG2023
Duality of Hessian manifolds and optimal transport
Jakob Hultgren
This is an expository paper describing how duality theory for Hessian manifolds provides a natural setting for optimal transport. We explain how this can be used to solve Monge-Amp…
math.DG2016
An optimal transport approach to Monge-Ampère equations on compact Hessian manifolds
Jakob Hultgren, Magnus Önnheim
In this paper we consider Monge-Ampère equations on compact Hessian manifolds, or equivalently Monge-Ampère equations on certain unbounded convex domains ,…