Behavior of the Gaussian curvature of timelike minimal surfaces with singularities

DOI10.14492/hokmj/1573722017zbMath1429.53022arXiv1701.00238OpenAlexW2986833486MaRDI QIDQ2280570

Shintaro Akamine

Publication date: 18 December 2019

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00238

zbMATH Keywords

singularitywave frontshape operatorGaussian curvatureLorentz-Minkowski spacediagonalizability3-dimensional Lorentz-Minkowski spacenon-degenerate singular pointtime-like minimal surface

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint ⋮ Some New Properties of Surfaces Generated by Null Cartan Curves ⋮ Chern-Ricci harmonic functions on zero mean curvature surfaces in the three-dimensional Lorentz-Minkowski space and the rigidity of Enneper's surface ⋮ Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born-Infeld equation ⋮ Duality of singularities for flat surfaces in Euclidean space ⋮ Analysis of timelike Thomsen surfaces ⋮ Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds ⋮ Singularities of translation surfaces in the Euclidean 3-space

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