The Logarithmic Capacitary Minkowski Problem for Polytopes

The logarithmic capacitary Minkowski problem asks for necessary and sufficient conditions on a finite Borel measure on the unit sphere so that it is the logarithmic capacitary measure of a convex body. This article completely solves the case of discrete measures whose support sets are in general pos...

Full description

Saved in:
Bibliographic Details
Published in:Acta mathematica Sinica. English series 2022-02, Vol.38 (2), p.406-418
Main Authors: Xiong, Ge, Xiong, Jia Wei
Format: Article
Language:English
Subjects:
Differential geometry
Mathematics
Mathematics and Statistics
Polytopes
Position measurement
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The logarithmic capacitary Minkowski problem asks for necessary and sufficient conditions on a finite Borel measure on the unit sphere so that it is the logarithmic capacitary measure of a convex body. This article completely solves the case of discrete measures whose support sets are in general position.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-022-1110-x