A Weierstrass representation for minimal surfaces in 3-dimensional manifolds
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Publication:1758361
DOI10.1007/s00025-011-0169-yzbMath1259.53058OpenAlexW1982766610MaRDI QIDQ1758361
Publication date: 9 November 2012
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-011-0169-y
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (8)
Timelike minimal surfaces in the three-dimensional Heisenberg group ⋮ 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 ⋮ Bonnet pairs of surfaces in Minkowski space ⋮ Generalized Weierstrass-Enneper representations of Euclidean, spacelike, and timelike surfaces: a unified Lie-algebraic formulation ⋮ Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space ⋮ The Björling problem for minimal surfaces in a Lorentzian three-dimensional Lie group ⋮ Explicit solving of the system of natural PDEs of minimal Lorentz surfaces in \(\mathbb{R}_2^4\)
Cites Work
- Björling problem for timelike surfaces in the Lorentz-Minkowski space
- Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
- A Weierstrass representation formula for minimal surfaces in \(\mathbb H_{3}\) and \(\mathbb H^{2} \times \mathbb R\)
- Immersions of Lorentzian surfaces in \(\mathbb R^{2,1}\)
- Maximal surfaces in a certain 3-dimensional homogeneous spacetime
- Weierstrass representation for minimal surfaces in hyperbolic space
- An introduction to Lorentz surfaces
- On the Björling problem in a three-dimensional Lie group
- Björling problem for maximal surfaces in Lorentz–Minkowski space
- A Weierstrass representation theorem for Lorentz surfaces
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