Hui, Shyamal Kumar; Zengin, Füsun Özen On almost pseudo concircular Ricci symmetric manifolds. (English) Zbl 1370.53017 Bol. Asoc. Mat. Venez. 19, No. 1, 57-70 (2012). Summary: The object of the present paper is to study almost pseudo concircular Ricci symmetric manifolds and its decomposibility. Among others it is shown that in a decomposable almost pseudo concircular Ricci symmetric manifold one of the decompositions is Einstein and the other decomposition is concircular Ricci symmetric. The totally umbilical hypersurfaces of almost pseudo concircular Ricci symmetric manifolds are also studied. Cited in 1 Document MSC: 53B30 Local differential geometry of Lorentz metrics, indefinite metrics 53B50 Applications of local differential geometry to the sciences 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) Keywords:pseudo Ricci symmetric manifold; almost pseudo Ricci symmetric manifold; 5concircular Ricci tensor; almost pseudo concircular Ricci symmetric manifold; scalar curvature; \(5W_2\)-curvature tensor; decomposable Riemannian manifold; totally umbilical hypersurfaces; 5totally geodesic; mean curvature PDF BibTeX XML Cite \textit{S. K. Hui} and \textit{F. Ö. Zengin}, Bol. Asoc. Mat. Venez. 19, No. 1, 57--70 (2012; Zbl 1370.53017) Full Text: EMIS OpenURL