Harmonic torsion of generalized nilsolitons on nilpotent Lie groups
Huibin Chen, Zhiqi Chen, Fuhai Zhu
Abstract
We prove that the torsion three-form in the preferred splitting of a left-invariant generalized nilsoliton on a nilpotent Lie group is harmonic. This gives a positive answer to Question 7.12 proposed by Fusi-Lafuente-Stanfield in [3].
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