Conformally Flat Pseudo-riemannian Homogeneous Ricci Solitons 4-spaces

M  Chaichi   and Y  Keshavarzi nbsp

doi:10.17485/ijst/2015/v8i12/71739

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Conformally Flat Pseudo-riemannian Homogeneous Ricci Solitons 4-spaces

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i12/71739

Year: 2015, Volume: 8, Issue: 12, Pages: 1-11

Original Article

Conformally Flat Pseudo-riemannian Homogeneous Ricci Solitons 4-spaces

M. Chaichi ^* and Y. Keshavarzi

Department of Mathematics, Payame Noor University, P.O. Box, 19395-3697, Tehran, Iran; [email protected], [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

We consider four-dimensional conformally flat homogeneous pseudo-Riemannian manifolds. According to forms (Segre types) of the Ricci operator, we provide a full classification of four-dimensional pseudo-Riemannian conformally flat homogeneous Ricci solitons.

Keywords: Conformally Flat Space, Homogeneous Manifold, Ricci Operator, Ricci Soliton