English

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 (n+1)(n+1)-dimensional Lorentz-Minkowski space R1n+1\mathbb{R}^{n+1}_{1}, and through which the existence of spacelike admissible graphic hypersurfaces, with prescribed 22-th Weingarten curvature and Dirichlet boundary data, defined over a strictly convex domain in the hyperbolic plane Hn(1)R1n+1\mathscr{H}^{n}(1)\subset\mathbb{R}^{n+1}_{1} of center at origin and radius 11, 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