Maximal spacelike surfaces in a certain homogeneous Lorentzian 3-manifold

被引：0
|
作者：
Lee, Sungwook [1 ]
机构：
[1] Univ Southern Mississippi, Sch Math & Nat Sci, Hattiesburg, MS 39406 USA
来源：
JOURNAL OF GEOMETRY | 2021年 / 112卷 / 02期
关键词：
Anti-de Sitter space; harmonic map; homogeneous manifold; Lorentzian manifold; maximal surface; Minkowski space; spacelike surface; solvable Lie group; MINIMAL-SURFACES; HARMONIC MAPS; REPRESENTATION;
D O I：
10.1007/s00022-021-00591-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：13
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