Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON GENERALIZED W3 RECURRENT RIEMANNIAN MANIFOLDS

  • Mohabbat Ali (Department of Applied Sciences & Humanities, Jamia Millia Islamia) ;
  • Quddus Khan (Department of Applied Sciences & Humanities, Jamia Millia Islamia) ;
  • Aziz Ullah Khan (Department of Applied Sciences & Humanities, Jamia Millia Islamia) ;
  • Mohd Vasiulla (Department of Applied Sciences & Humanities, Jamia Millia Islamia)
  • Received : 2022.11.17
  • Accepted : 2023.01.09
  • Published : 2023.06.01
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Abstract

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.

Keywords

Acknowledgement

The authors are thankful to the referees for their valuable suggestions towards the improvement of this paper.

References

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