@article{article_1360673, title={Generalized Ricci-Recurrent Weyl Manifolds}, journal={International Electronic Journal of Geometry}, volume={17}, pages={378–387}, year={2024}, DOI={10.36890/iejg.1360673}, author={Hafızoğlu Gökdağ, Zehra and Arsan, Güler}, keywords={Generalized Ricci-recurrent Weyl manifold, quasi-Einstein Weyl manifold, harmonic conformal curvature tensor, Einstein Weyl manifold, concircular curvature tensor}, abstract={This present paper is concerned with the study of the generalized Ricci-recurrent Weyl manifolds. First, we obtain a sufficient condition for the generalized Ricci-recurrent Weyl manifold admitting harmonic conformal curvature tensor to be a quasi-Einstein Weyl manifold. Also, we give an example of a quasi-Einstein Weyl manifold. Then, we prove that a generalized Ricci-recurrent Weyl manifold satisfying the Codazzi type of Ricci tensor is an Einstein Weyl manifold if and only if its scalar curvature is a prolonged covariant constant. Moreover, we prove that a generalized Ricci-recurrent Weyl manifold with a generalized concircularly symmetric tensor is an Einstein-Weyl manifold whose scalar curvature is prolonged covariant constant.}, number={2}, publisher={Kazım İlarslan}