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arXiv · 2410.06445

On a family of Einstein like Walker metrics

Issa Allassane Kaboye·Mamadou Ciss·Abdoul Salam Diallo
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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.

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Issa Allassane Kaboye, Mamadou Ciss, Abdoul Salam Diallo. 2024-10-09. On a family of Einstein like Walker metrics. https://doi.org/10.22098/jfga.2025.16924.1150

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