Ricci bi-conformal vector fields on Lorentzian five-dimensional two-step nilpotent Lie groups

Abstract

In this paper, we completely classify Ricci bi-conformal vector fields on simply-connected five-dimensional two-step nilpotent Lie groups which are also connected and we show which of them are the Killing vector fields and gradient vector fields.

Keywords

• Ricci bi-conformal vector fields
• pseudo-Riemannian metrics
• nilpotent Lie group

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