English

The Gauss image problem for pseudo-cones

Metric Geometry 2025-02-06 v4

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.

Keywords

Cite

@article{arxiv.2412.06005,
  title  = {The Gauss image problem for pseudo-cones},
  author = {Rolf Schneider},
  journal= {arXiv preprint arXiv:2412.06005},
  year   = {2025}
}

Comments

17 pages

R2 v1 2026-06-28T20:27:06.671Z