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arXiv · 1503.06305

Maximal spacelike surfaces in a certain homogeneous Lorentzian 3-manifold

Sungwook Lee
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Abstract

The 2-parameter family of certain homogeneous Lorentzian 3-manifolds which includes Minkowski 3-space and anti-de Sitter 3-space is considered. Each homogeneous Lorentzian 3-manifold in the 2-parameter family has a solvable Lie group structure with left invariant metric. A generalized integral representation formula which is the unification of representation formulas for maximal spacelike surfaces in those homogeneous Lorentzian 3-manifolds is obtained. The normal Gauß map of maximal spacelike surfaces in those homogeneous Lorentzian 3-manifolds and its harmonicity are discussed.

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Sungwook Lee. 2015-03-21. Maximal spacelike surfaces in a certain homogeneous Lorentzian 3-manifold. https://arxiv.org/abs/1503.06305

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