Pseudo-cones and measure transport
Metric Geometry
2025-03-24 v3
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.
Keywords
Cite
@article{arxiv.2501.19263,
title = {Pseudo-cones and measure transport},
author = {Rolf Schneider},
journal= {arXiv preprint arXiv:2501.19263},
year = {2025}
}
Comments
7 pages; changes in the proof of Theorem 2