The discrete horospherical p-Minkowski problem in hyperbolic space

2023/10/05 by Li, Haizhong, Wan, Yao, Xu, Botong
#52A20 #52A55 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2310.03516

Abstract

In \citeLX, 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∈(-∞,+∞) when the given measure is even on the unit sphere.

Related

• Non-normalized solutions to the horospherical Minkowski problem
• Hyperbolic p-sum and Horospherical p-Brunn-Minkowski theory in hyperbolic space
• Classification of solutions to the isotropic horospherical p-Minkowski problem in hyperbolic plane
• The horospherical p-Christoffel-Minkowski and prescribed p-shifted Weingarten curvature problems in hyperbolic space
• The L_p-Minkowski problem with super-critical exponents