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On weakly concircular symmetric spaces. (English) Zbl 1082.53021
Summary: The object of this paper is to establish an example of a weakly symmetric space. Some results on a \((WZS)_n\) are established and it is shown that if a \((WZS)_n\) is a decomposable space \(V^r\times V^{n-r}\) (\(r>1\), \(n-r>1\)), then one of the decomposition spaces is flat and the other is a pseudo symmetric space. Later, the Ricci-associate of the vector field \(\lambda_i\) is defined and some theorems relating to it are proved.

MSC:
53B15 Other connections
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