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On almost pseudo concircular Ricci symmetric manifolds. (English) Zbl 1370.53017
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.
Reviewer: Reviewer (Berlin)

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.)
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