ON GENERALIZED W3 RECURRENT RIEMANNIAN MANIFOLDS

ON GENERALIZED W3 RECURRENT RIEMANNIAN MANIFOLDS

The object of the present work is to study a generalized W3 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 W3 recurrent manifold to be special quasi-Einstein manifold are given....

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Veröffentlicht in:Honam mathematical journal 2023, 45(2), , pp.325-339
Hauptverfasser: Mohabbat Ali, Quddus Khan, Aziz Ullah Khan, Mohd Vasiulla
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:The object of the present work is to study a generalized W3 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 W3 recurrent manifold to be special quasi-Einstein manifold are given. Ricci symmetric and decomposable generalized W3 recurrent manifold are studied. Finally, the existence of such a manifold is ensured by a non-trivial example. KCI Citation Count: 0
ISSN:1225-293X
2288-6176
DOI:10.5831/HMJ.2023.45.2.325