English

The $L_p$ Aleksandrov problem for origin-symmetric polytopes

Metric Geometry 2018-03-30 v1

Abstract

The LpL_p Aleksandrov integral curvature and its corresponding characterization problem---the LpL_p Aleksandrov problem---were recently introduced by Huang, Lutwak, Yang, and Zhang. The current work presents a solution to the LpL_p Aleksandrov problem for origin-symmetric polytopes when 1<p<0-1<p<0.

Keywords

Cite

@article{arxiv.1803.10839,
  title  = {The $L_p$ Aleksandrov problem for origin-symmetric polytopes},
  author = {Yiming Zhao},
  journal= {arXiv preprint arXiv:1803.10839},
  year   = {2018}
}