Weierstrass representations of Lorentzian minimal surfaces in \(\mathbb{R}^4_2\)
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Publication:2211733
DOI10.1007/s00009-020-01636-xzbMath1452.53008arXiv2107.14609OpenAlexW3188556385MaRDI QIDQ2211733
Ognian Kassabov, Velichka Milousheva
Publication date: 12 November 2020
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.14609
Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
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Cites Work
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- The Björling problem for timelike surfaces in \(\mathbb R_2^4\)
- Spinor representation of Lorentzian surfaces in \(\mathbb R^{2, 2}\)
- Björling problem for timelike surfaces in the Lorentz-Minkowski space
- Nonlinear Klein-Gordon equations and Lorentzian minimal surfaces in Lorentzian complex space forms
- Spacelike maximal surfaces in 4-dimensional space forms of index 2.
- The Björling problem for timelike minimal surfaces in \({\mathbb {R}}^{4}_{1}\)
- Minimal Lorentz surfaces in pseudo-Euclidean 4-space with neutral metric
- Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index
- Relation between the Maximal Space-like Surfaces in R42 and the Maximal Space-like Surfaces in R31
- Explicit Solving of the System of Natural PDE's of Minimal Space-like Surfaces in Minkowski Space-time
- A Weierstrass representation theorem for Lorentz surfaces
- Explicit Solving of the System of Natural PDE's of Minimal Surfaces in the Four-Dimensional Euclidean Space
- A generalized Weierstrass representation of Lorentzian surfaces in ℝ2,2 and applications
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