Minimal Timelike Surfaces In a Certain Homogeneous Lorentzian 3-Manifold
Mathematics and Natural Sciences
The 2-parameter family of certain homogeneous Lorentzian 3-manifolds which includes Minkowski 3-space, de Sitter 3-space, and Minkowski motion group 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 minimal timelike surfaces in those homogeneous Lorentzian 3-manifolds is obtained. The normal GauB map of minimal timelike surfaces in those homogeneous Lorentzian 3-manifolds and its harmonicity are discussed.
Tohoku Mathematical Journal
(2017). Minimal Timelike Surfaces In a Certain Homogeneous Lorentzian 3-Manifold. Tohoku Mathematical Journal, 69(4), 621-635.
Available at: https://aquila.usm.edu/fac_pubs/18458