Pseudo-cones and measure transport

Published 31 Jan 2025 in math.MG | (2501.19263v3)

Abstract: A recent result on the Gauss image problem for pseudo-cones can be interpreted as a measure transport, performed by the reverse radial Gauss map of a pseudo-cone. We find a cost function that is minimized by this transport map, and we prove an analogue of Rockafellar's characterization of the subdifferentials of convex functions.

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Rolf Schneider

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