ON GENERALIZED W 3 RECURRENT RIEMANNIAN MANIFOLDS

ON GENERALIZED W 3 RECURRENT RIEMANNIAN MANIFOLDS

The object of the present work is to study a generalized W 3 recurrent manifold. We obtain a necessary and sufficient condition for the scalar curvature to be constant in such a manifold. Also, sufficient condition for generalized W 3 recurrent manifold to be special quasi-Einstein manifold are give...

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Veröffentlicht in:Honam mathematical journal 2023-06, Vol.45 (2), p.325-339
Hauptverfasser: Mohabbat Ali, Quddus Khan, Aziz Ullah Khan, Mohd Vasiulla
Format: Artikel
Sprache:kor
Schlagworte:
Einstein manifold
generalized recurrent manifold
generalized W 3</ sub> recurrent manifold
Ricci symmetric manifold
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Zusammenfassung:The object of the present work is to study a generalized W 3 recurrent manifold. We obtain a necessary and sufficient condition for the scalar curvature to be constant in such a manifold. Also, sufficient condition for generalized W 3 recurrent manifold to be special quasi-Einstein manifold are given. Ricci symmetric and decomposable generalized W 3 recurrent manifold are studied. Finally, the existence of such a manifold is ensured by a non-trivial example.
ISSN:1225-293X