Classification of left-invariant Einstein metrics on SL(2, R) x SL(2, R) that are bi-invariant under a one-parameter subgroup

被引：0
|
作者：
Cortes, Vicente [1 ,2 ]
Ehlert, Jeremias [1 ,2 ]
Haupt, Alexander S. [1 ,2 ]
Lindemann, David [3 ]
机构：
[1] Univ Hamburg, Dept Math, Bundesstr 55, D-20146 Hamburg, Germany
[2] Univ Hamburg, Ctr Math Phys, Bundesstr 55, D-20146 Hamburg, Germany
[3] Aarhus Univ, Dept Math, Ny Munkegarde 118, DK-8000 Aarhus C, Denmark
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2023年 / 63卷 / 02期
关键词：
Special linear group; Einstein manifolds; Non-compact homogeneous pseudo-Riemannian manifolds;
D O I：
10.1007/s10455-023-09890-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify all left-invariant pseudo-Riemannian Einstein metrics on SL(2, R) x SL(2, R) that are bi-invariant under a one-parameter subgroup. We find that there are precisely two such metrics up to homothety, the Killing form and a nearly pseudo-Kahler metric.
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页数：16
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