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On weakly projective symmetric manifolds. (English) Zbl 1224.53039
Summary: The object of the present paper is to study weakly projective symmetric manifolds and its decomposability with several non-trivial examples. Among others it is shown that in a decomposable weakly projective symmetric manifold both the decompositions are weakly Ricci symmetric.

MSC:
53B35 Local differential geometry of Hermitian and Kählerian structures
53B05 Linear and affine connections
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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