On a family of Einstein like Walker metrics
Differential Geometry
2025-08-15 v1
Abstract
A four dimensional pseudo-Riemannian manifold of signature (2, 2) is called a Walker manifold if it admits a parallel degenerate plane field. In this paper, we study the curvature properties of such a class of four dimensional Walker manifolds. In particular, we characterize Walker metrics of a given form which are Einstein-like.
Cite
@article{arxiv.2410.06445,
title = {On a family of Einstein like Walker metrics},
author = {Issa Allassane Kaboye and Mamadou Ciss and Abdoul Salam Diallo},
journal= {arXiv preprint arXiv:2410.06445},
year = {2025}
}