On pseudo concircular symmetric manifold admitting a type of quarter symmetric metric connection (Q2708412)

Let \((M_n,g,n>2)\) be a non-flat Riemannian manifold, \(\Omega\) the concircular curvature tensor and \(A\) a non-zero 1-form such that \(g(X,\rho) =A(X)\); \(X,\rho\) are vector fields. A pseudo concircular symmetric manifold is defined under some conditions for \(\Omega\) and \(A\). Let \(r\) be the scalar curvature. Introducing a particular class of quarter symmetric metric connexions on the manifold, the author obtains the nature of \(A\) and a particular form for \(r\) in terms of the associated vector field \(\rho\).