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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
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