Document Type

Article

Publication Date

8-1-2021

Department

Mathematics

School

Mathematics and Natural Sciences

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 for maximal spacelike surfaces in the homogeneous Lorentzian 3-manifolds is obtained. The normal Gauß map of maximal spacelike surfaces and its harmonicity are discussed.

Comments

© Journal of Geometry. Published version found at 10.1007/s00022-021-00591-6.

Publication Title

Journal of Geometry

Volume

112

Issue

2

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