English

The Lp Minkowski problem for polytopes for negative p

Metric Geometry 2016-05-10 v3

Abstract

Existence of solutions to the Lp Minkowski problem is proved for all p less than 0. For the cirtical case of p=-n, which is known as the centro-affine Minkowski problem, this paper contains the main result in [71] as a special case.

Cite

@article{arxiv.1602.07774,
  title  = {The Lp Minkowski problem for polytopes for negative p},
  author = {Guangxian Zhu},
  journal= {arXiv preprint arXiv:1602.07774},
  year   = {2016}
}

Comments

Accepted by Indiana Univ. Math. J. arXiv admin note: text overlap with arXiv:1406.7503, arXiv:1409.7907

R2 v1 2026-06-22T12:57:22.775Z