Generalized Ricci-Recurrent Weyl Manifolds

Yıl 2024, Cilt: 17 Sayı: 2, 378 - 387

Zehra Hafızoğlu Gökdağ , Güler Arsan

https://doi.org/10.36890/iejg.1360673

Öz

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.

Anahtar Kelimeler

Generalized Ricci-recurrent Weyl manifold, quasi-Einstein Weyl manifold, harmonic conformal curvature tensor, Einstein Weyl manifold, concircular curvature tensor

Kaynakça

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