Work

Pseudo-cones and measure transport

Year: 2025

Type: article

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 extremized by this transport map, and we prove an analogue of Rockafellar’s characterization of the subdifferentials of convex functions.

Source: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

DOI: 10.1007/s13366-025-00792-z

Author: Rolf Schneider

Institution: University of Freiburg

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W4409284836

FWCI: 1.893

Cites: 13

Cited by: 1

Related to: 10