Existence of smooth even solutions to the dual Orlicz-Minkowski problem

In this paper we study the dual Orlicz-Minkowski problem, which is a generalization of the dual Minkowski problem in convex geometry. By considering a geometric flow involving Gauss curvature and functions of normal vectors and radial vectors, we obtain a new existence result of smooth even solution...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Chen, Li, Liu, YanNan, Lu, Jian, Ni Xiang
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.07.2020
Subjects
Differential geometry
Euclidean geometry
Euclidean space
Hyperspaces
Online AccessGet full text

Cover

More Information
Summary:In this paper we study the dual Orlicz-Minkowski problem, which is a generalization of the dual Minkowski problem in convex geometry. By considering a geometric flow involving Gauss curvature and functions of normal vectors and radial vectors, we obtain a new existence result of smooth even solutions to this problem for smooth even measures.
ISSN:2331-8422