Killing-Yano 2-forms on 2-step nilpotent Lie groups
Differential Geometry
2019-07-09 v1
Abstract
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.
Cite
@article{arxiv.1907.03662,
title = {Killing-Yano 2-forms on 2-step nilpotent Lie groups},
author = {Adrián Andrada and Isabel G. Dotti},
journal= {arXiv preprint arXiv:1907.03662},
year = {2019}
}