# zbMATH — the first resource for mathematics

On weakly symmetric Riemannian spaces. (English) Zbl 0922.53018
Weakly symmetric spaces $$(WS)_n$$ are those Riemannian spaces in which the covariant derivative of the curvature tensor is a general linear expression of the curvature tensor and several vector fields (this is a generalization of locally symmetric spaces).
In this paper, a simplification of the defining relation of a $$(WS)_n$$ is given and by a concrete example its existence is exhibited.

##### MSC:
 53C35 Differential geometry of symmetric spaces
##### Keywords:
weakly symmetric Riemannian space; curvature tensor