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On weakly quasi-conformally symmetric manifolds. (English) Zbl 1139.53008
Summary: The object of the present paper is to study weakly quasi-conformally symmetric Riemannian manifolds. Among others we obtain various sufficient conditions for such a manifold to be of weakly symmetric. The decomposable weakly quasi-conformally symmetric manifolds are studied and classified regorously. The existence of a weakly quasi-conformally symmetric and decomposable weakly quasi-conformally symmetric manifolds are confirmed by several non-trivial examples.

MSC:
53B25 Local submanifolds
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