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- Title
Curvature estimates for spacelike graphic hypersurfaces in Lorentz–Minkowski space R1n+1$\mathbb {R}^{n+1}_{1}$.
- Authors
Gao, Ya; Li, Jie; Mao, Jing; Xie, Zhiqi
- 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 2‐nd Weingarten curvature and Dirichlet boundary data, defined over a strictly convex domain in the hyperbolic plane Hn(1)⊂R1n+1$\mathcal {H}^{n}(1)\subset \mathbb {R}^{n+1}_{1}$ of center at origin and radius 1, can be proven.
- Subjects
CURVATURE; HYPERSURFACES; CONVEX domains
- Publication
Mathematische Nachrichten, 2024, Vol 297, Issue 3, p833
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.202200107