Killing-Yano 2-forms on 2-step nilpotent Lie groups

被引：5
|
作者：
Andrada, Adrian [1 ]
Dotti, Isabel G. [1 ]
机构：
[1] Univ Nacl Cordoba, FAMAF, CIEM, CONICET, Ave Medina Allende S-N,Ciudad Univ, Cordoba, Argentina
来源：
GEOMETRIAE DEDICATA | 2021年 / 212卷 / 01期
关键词：
Killing-Yano forms; Parallel tensors; Nilpotent Lie groups; FORMS;
D O I：
10.1007/s10711-020-00564-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we show that the only 2-step nilpotent Lie groups which carry a non-degenerate left invariant Killing-Yano 2-form are the complex Lie groups. In the case of 2-step nilpotent complex Lie groups arising from connected graphs, we prove that the space of left invariant Killing-Yano 2-forms is one-dimensional.
引用
收藏
页码：415 / 424
页数：10
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