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arXiv · 2501.19263

Pseudo-cones and measure transport

Rolf Schneider
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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. 2025-03-21. Pseudo-cones and measure transport. https://arxiv.org/abs/2501.19263

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