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

Year 2024, Volume: 53 Issue: 4, 1118 - 1129, 27.08.2024

Shahroud Azami , U.c. De

https://doi.org/10.15672/hujms.1294973

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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