The discrete horospherical $p$-Minkowski problem in hyperbolic space

Abstract

In \cite{LX}, the first author and the third author introduced and studied the horospherical $p$-Minkowski problem for smooth horospherically convex domains in hyperbolic space. In this paper, we introduce and solve the discrete horospherical $p$-Minkowski problem in hyperbolic space for all $p\in (-\infty ,+\infty )$ when the given measure is even on the unit sphere.

arXiv comment25 pages, 6 figures. Comments are welcome