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

页码：415 / 424

页数：10

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