The Gaussian Minkowski-type problems for $C$-pseudo-cones
Metric Geometry
2025-04-10 v3 Probability
Abstract
The Gaussian surface area measure and the Gaussian cone measure for -pseudo-cones are introduced and their corresponding Gaussian Minkowski problem and Gaussian log-Minkowski problem are proposed, respectively. The existence and uniqueness of solutions to these problems for -pseudo-cones are established.
Keywords
Cite
@article{arxiv.2501.16449,
title = {The Gaussian Minkowski-type problems for $C$-pseudo-cones},
author = {Junjie Shan and Wenchuan Hu and Wenxue Xu},
journal= {arXiv preprint arXiv:2501.16449},
year = {2025}
}
Comments
Minor revisions were made to improve terminology consistency, mathematical clarity, and grammar