CAUSAL CHARACTERS OF ZERO MEAN CURVATURE SURFACES OF RIEMANN TYPE IN THE LORENTZ-MINKOWSKI 3-SPACE

DOI10.2206/kyushujm.71.211zbMath1409.53010arXiv1510.07451OpenAlexW2963669004MaRDI QIDQ4642746

Shintaro Akamine

Publication date: 25 May 2018

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07451

zbMATH Keywords

causal characterzero mean curvature surface of Riemann type

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space ⋮ Chern-Ricci harmonic functions on zero mean curvature surfaces in the three-dimensional Lorentz-Minkowski space and the rigidity of Enneper's surface ⋮ Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space ⋮ Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born-Infeld equation ⋮ Riemann zero mean curvature examples in Lorentz–Minkowski space ⋮ Reflection principle for lightlike line segments on maximal surfaces ⋮ Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality ⋮ Hypersurfaces with light-like points in a Lorentzian manifold

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