Curvature estimates for spacelike graphic hypersurfaces in Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$
Differential Geometry
2021-11-03 v1
Abstract
In this paper, we can obtain curvature estimates for spacelike admissible graphic hypersurfaces in the -dimensional Lorentz-Minkowski space , and through which the existence of spacelike admissible graphic hypersurfaces, with prescribed -th Weingarten curvature and Dirichlet boundary data, defined over a strictly convex domain in the hyperbolic plane of center at origin and radius , can be proven.
Keywords
Cite
@article{arxiv.2111.01345,
title = {Curvature estimates for spacelike graphic hypersurfaces in Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$},
author = {Ya Gao and Jie Li and Jing Mao and Zhiqi Xie},
journal= {arXiv preprint arXiv:2111.01345},
year = {2021}
}
Comments
19 pages. Comments are welcome