Shaikh, A. A.; Hui, Shyamal Kumar On weakly projective symmetric manifolds. (English) Zbl 1224.53039 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 25, No. 2, 247-269 (2009). 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. Cited in 8 Documents 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.) Keywords:weakly projective symmetric manifold; weakly Ricci symmetric manifold; projective curvature tensor; decomposable manifold; scalar curvature PDF BibTeX XML Cite \textit{A. A. Shaikh} and \textit{S. K. Hui}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 25, No. 2, 247--269 (2009; Zbl 1224.53039) Full Text: EuDML