De, Uday ChandYıldız, Ahmet2022-01-212022-01-212009-04Arslan, K. vd. (2009). "On generalized recurrent Riemannian manifolds". Acta Mathematica Hungarica, 123(1-2). 27-39.0236-5294https://doi.org/10.1007/s10474-008-8049-yhttps://link.springer.com/article/10.1007%2Fs10474-008-8049-yhttp://hdl.handle.net/11452/24231The object of the present paper is to study a type of Riemannian manifolds called generalized recurrent manifolds. We have constructed two concrete examples of such a manifold whose scalar curvature is non-zero non-constant. Some other properties have been considered. Among others it is shown that on a generalized recurrent manifold with constant scalar curvature, Weyl-semisymmetry and semisymmetry are equivalent. Sufficient condition for a generalized recurrent manifold to be a special quasi Einstein manifold is obtained.eninfo:eu-repo/semantics/closedAccessConcirculary recuren manifoldGeneralized recurrent manifoldQuasi-Einstein manifoldRicci-semisymmetryClassificationMathematicsArticle0002650177000032-s2.0-6454912119427391231-2MathematicsSlant Submanifold; Kaehler Manifold; Sasakian Space Form