The $L_{p}$ Dual Minkowski Problem for Group-Invariant Convex Bodies
Metric Geometry
2025-11-18 v2
Abstract
In this paper, we study the dual Minkowski problem for all from an algebraic perspective. We establish the existence of solutions for group-invariant convex bodies (not necessarily origin-symmetric), thereby covering three fundamental problems as special cases: the Minkowski problem (), the Aleksandrov problem (), and the dual Minkowski problem ().
Cite
@article{arxiv.2507.13233,
title = {The $L_{p}$ Dual Minkowski Problem for Group-Invariant Convex Bodies},
author = {Junjie Shan},
journal= {arXiv preprint arXiv:2507.13233},
year = {2025}
}