Maximal surfaces in a certain 3-dimensional homogeneous spacetime

DOI10.1016/j.difgeo.2008.04.002zbMath1152.53007arXiv1503.02604OpenAlexW2964244527WikidataQ115357563 ScholiaQ115357563MaRDI QIDQ953920

Sungwook Lee

Publication date: 6 November 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02604

zbMATH Keywords

harmonic mapsspace-like surfacesmaximal surfacessolvable Lie groupshomogeneous spacetime

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) 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 (2)

Minimal timelike surfaces in a certain homogeneous Lorentzian 3-manifold ⋮ A Weierstrass representation for minimal surfaces in 3-dimensional manifolds

Cites Work

• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• A Weierstrass representation formula for minimal surfaces in \(\mathbb H_{3}\) and \(\mathbb H^{2} \times \mathbb R\)
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Weierstrass representation for minimal surfaces in hyperbolic space
• Minimal surfaces in \(M^2\times \mathbb{R}\)
• Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
• Minimal surfaces in 3-dimensional solvable Lie groups
• The generalized gauss map of minimal surfaces in H3 and H4
• Minimal surfaces in 3-dimensional solvable Lie groups II
• The Large Scale Structure of Space-Time
• Kenmotsu type representation formula for spacelike surfaces in the de Sitter 3-space

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