- Konuralp Journal of Mathematics
- Cilt: 12 Sayı: 1
- Eight-Dimensional Walker Locally Symmetric Manifolds
Eight-Dimensional Walker Locally Symmetric Manifolds
Authors : Silas Longwap, Abdoul Salam Diallo
Pages : 1-4
View : 70 | Download : 64
Publication Date : 2024-04-30
Article Type : Research
Abstract :A pseudo-Riemannian manifold which admits a field of parallel null $r$-planes, with $r\\leq \\frac{m}{2}$ is a Walker $m$-manifold. The even-dimensional Walker manifolds $(m=2r)$ with fields of parallel null planes of half dimension have some special interest. The main purpose of the present paper is to study a specifc Walker metric on a $8$-dimensional manifold and to give a theorem for the metric to be locally symmetric.Keywords : Locally symmetric space, Walker manifold., Pseudo-Riemannin