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arXiv · 1907.03662

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

Adrián Andrada·Isabel G. Dotti
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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.

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BibTeXRIS

Adrián Andrada, Isabel G. Dotti. 2019-07-08. Killing-Yano 2-forms on 2-step nilpotent Lie groups. https://arxiv.org/abs/1907.03662

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