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Curvature estimates for spacelike graphic hypersurfaces in Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$

Authors :
Gao, Ya
Li, Jie
Mao, Jing
Xie, Zhiqi
Publication Year :
2021

Abstract

In this paper, we can obtain curvature estimates for spacelike admissible graphic hypersurfaces in the $(n+1)$-dimensional Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$, and through which the existence of spacelike admissible graphic hypersurfaces, with prescribed $2$-th Weingarten curvature and Dirichlet boundary data, defined over a strictly convex domain in the hyperbolic plane $\mathscr{H}^{n}(1)\subset\mathbb{R}^{n+1}_{1}$ of center at origin and radius $1$, can be proven.<br />Comment: 19 pages. Comments are welcome

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2111.01345
Document Type :
Working Paper