On a family of Einstein like Walker metrics

Articles in Press

Document Type : Original Article

Authors

1 Universite Alioune Diop, UFR SATIC, Departement de Mathematiques, Equipe de Recherche en Analyse Non Lineaire et Geometrie, B. P. 30, Bambey, Senegal

2 Universite Andre Salifou de Zinder, Departement des Sciences Exactes, B. P. 656, Zinder, Niger

10.22098/jfga.2025.16924.1150

Abstract

A four dimensional pseudo-Riemannian manifold of signature (2, 2) is called a Walker manifold if it admits a parallel degenerate plane field. Einstein like metrics are generalizations of Einstein metrics. In this paper, we study the curvature properties of a family of four dimensional Walker manifolds. We give conditions on the coefficients of the metric so that the Ricci tensor of the metric is parallel, cyclic parallel and Codazzi respectively.

Keywords

References

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Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 02 June 2025

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