Ricci bi-conformal vector fields on four-dimensional Lorentzian Damek-Ricci spaces

Shahroud Azami

doi:10.5269/bspm.67903

Shahroud Azami Imam Khomeini International University

Abstract

In this paper, we obtain all Ricci bi-conformal vector fields on the four-dimensional Lorentzian Damek-Ricci spaces and we show that four-dimensional Lorentzian Damek-Ricci spaces have not nontrivial Ricci bi-conformal vector fields as gradient vector filed. Also, we determine which of them are Killing vector fields.

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