Sungwook Lee
Published 2015-03-21Version 1
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 Gau{\ss} map of maximal spacelike surfaces in those homogeneous Lorentzian 3-manifolds and its harmonicity are discussed.
Comments: 14 pages. arXiv admin note: text overlap with arXiv:1503.02604
Minimal surfaces in a certain 3-dimensional homogeneous spacetime
A Moser/Bernstein type theorem in a Lie group with a left invariant metric under a gradient decay condition
A remark on left invariant metrics on compact Lie groups
![QR code for arXiv:1503.06305 [math.DG]](http://oss.arxitics.com/images/favicon.svg)