The Logarithmic Capacitary Minkowski Problem for Polytopes

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...

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Veröffentlicht in:Acta mathematica Sinica. English series 2022-02, Vol.38 (2), p.406-418
Hauptverfasser: Xiong, Ge, Xiong, Jia Wei
Format: Artikel
Sprache:eng
Schlagworte:
Differential geometry
Mathematics
Mathematics and Statistics
Polytopes
Position measurement
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Zusammenfassung: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