Smooth solutions to the Gauss image problem
Analysis of PDEs
2020-12-22 v1
Abstract
In this paper we study the the Gauss image problem, which is a generalization of the Aleksandrov problem in convex geometry. By considering a geometric flow involving Gauss curvature and functions of normal vectors and radial vectors, we obtain the existence of smooth solutions to this problem.
Keywords
Cite
@article{arxiv.2012.11367,
title = {Smooth solutions to the Gauss image problem},
author = {Li Chen and Di Wu and Ni Xiang},
journal= {arXiv preprint arXiv:2012.11367},
year = {2020}
}
Comments
20pages