Surfaces with light-like points in Lorentz-Minkowski 3-space with applications
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Publication:1624787
DOI10.1007/978-3-319-66290-9_14zbMath1402.53007arXiv1707.07396OpenAlexW2963955854MaRDI QIDQ1624787
Kotaro Yamada, Masaaki Umehara
Publication date: 16 November 2018
Full work available at URL: https://arxiv.org/abs/1707.07396
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) PDEs of mixed type (35M10) 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 ⋮ Bicomplex extensions of zero mean curvature surfaces in \(\mathbb{R}^{2, 1}\) and \(\mathbb{R}^{2, 2}\) ⋮ Unnamed Item ⋮ 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 ⋮ Hypersurfaces with light-like points in a Lorentzian manifold. II ⋮ Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality ⋮ Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds ⋮ Hypersurfaces with light-like points in a Lorentzian manifold
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