Ricci bi-conformal vector fields on non-reductive four-dimensional homogeneous spaces

Authors

  • Mahin Sohrabpour
  • Shahroud Azami

Keywords:

Bi-conformal vector field, Conformal vector field, Killing field, Non-reductive homogeneous spaces, Pseudo-Riemannian metrics, Ricci solitons.

Abstract

The goal of this paper is to find the Ricci bi-conformal left invariant vector fields on the non-reductive four-dimensional
homogeneous spaces. At first, we introduce some necessary definations, then we calculate the Lie derivative of the metric and the Lie
derivative of the Ricci tensor. We classify the Ricci bi-conformal vector fields on non-reductive four-dimensional homogeneous spaces.
Finally, we show which of them are Killing vector fields.

Downloads

Published

2025-01-29

How to Cite

Sohrabpour, M., & Azami, S. (2025). Ricci bi-conformal vector fields on non-reductive four-dimensional homogeneous spaces. Jordan Journal of Mathematics and Statistics, 17(4). Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/553

Issue

المجلد 17 العدد 4 (2024)

Section

Articles