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Characterization of Ricci Solitons and Harmonic Vector Fields on the Lie Group Nil4
Yanlin Li, Ahmed Mohammed Cherif, Yuquan Xie
Source abstract
This study considers a left-invariant Riemannian metric g on the Lie group Nil4. We introduce a Ricci solitons’ classification on (Nil4,g). These are expansive non-gradient Ricci solitons. We examine the existence of harmonic maps into (Nil4,g) from a compact Riemannian manifold. Additionally, we provide a characterization of a class of harmonic vector fields on (Nil4,g).
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