The dual Orlicz-Minkowski problem

Baocheng Zhu; Sudan Xing; Deping Ye

The dual Orlicz-Minkowski problem

Metric Geometry 2017-03-22 v1 Differential Geometry

Authors: Baocheng Zhu , Sudan Xing , Deping Ye

Abstract

In this paper, the dual Orlicz curvature measure is proposed and its basic properties are provided. A variational formula for the dual Orlicz-quermassintegral is established in order to give a geometric interpretation of the dual Orlicz curvature measure. Based on the established variational formula, a solution to the dual Orlicz-Minkowski problem regarding the dual Orlicz curvature measure is provided.

Keywords

differential geometry

Cite

@article{arxiv.1703.06976,
  title  = {The dual Orlicz-Minkowski problem},
  author = {Baocheng Zhu and Sudan Xing and Deping Ye},
  journal= {arXiv preprint arXiv:1703.06976},
  year   = {2017}
}

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