paper

The Gauss image problem for pseudo-cones

arXiv:2412.06005

Abstract

The Gauss image problem for convex bodies asks for the existence of a convex body that "links" two given measures on the unit sphere in a certain way. We treat here a corresponding question for pseudo-cones, that is, for unbounded closed convex sets strictly contained in their recession cones.

17 pages

The Gauss image problem for pseudo-cones · wovepaper