Timelike surfaces in the de Sitter space \(\mathbb{S}_1^3(1)\subset \mathbb{R}_1^4\)

DOI10.1007/s10455-022-09832-6zbMath1501.53076OpenAlexW2979476889MaRDI QIDQ2140592

A. P. Franco Filho, Martha P. Dussan, Martin A. Magid

Publication date: 23 May 2022

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-022-09832-6

zbMATH Keywords

minimal surfacesde Sitter spaceholomorphic functionsisotropic coordinatestime-like surfaces

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Quasi-analytic and other classes of functions of one complex variable (30D60)

Cites Work

• Unnamed Item
• The Björling problem for timelike surfaces in \(\mathbb R_2^4\)
• Björling problem for timelike surfaces in the Lorentz-Minkowski space
• Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space
• Timelike minimal surfaces via loop groups
• Immersions of Lorentzian surfaces in \(\mathbb R^{2,1}\)
• The Björling problem for timelike minimal surfaces in \({\mathbb {R}}^{4}_{1}\)
• Minimal surfaces in Lorentzian Heisenberg group and Damek-Ricci spaces via the Weierstrass representation
• Generalized Weierstrass-Enneper representations of Euclidean, spacelike, and timelike surfaces: a unified Lie-algebraic formulation
• A Weierstrass representation theorem for Lorentz surfaces
• Solutions of the Björling problem for timelike surfaces in the Lorentz-Minkowski space
• The Björling problem for minimal surfaces in a Lorentzian three-dimensional Lie group

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