Curvature estimates for spacelike graphic hypersurfaces in Lorentz-Minkowski space ℝⁿ⁺¹₁

2021/11/02 by Ya Gao, Jie Li, Gao, Ya +5
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.2111.01345

Abstract

In this paper, we can obtain curvature estimates for spacelike admissible graphic hypersurfaces in the (n+1)-dimensional Lorentz-Minkowski space ℝⁿ⁺¹₁, 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 \mathscrHⁿ(1)⊂ℝⁿ⁺¹₁ of center at origin and radius 1, can be proven.

Citations

• Interior curvature bounds for a class of curvature equations
• Inverse mean curvature flow for spacelike graphic hypersurfaces with boundary in Lorentz-Minkowski space ℝⁿ⁺¹₁

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