Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON WEAKLY CYCLIC GENERALIZED B-SYMMETRIC MANIFOLDS

  • Mohabbat Ali (Department of Applied Sciences & Humanities Jamia Millia Islamia) ;
  • Aziz Ullah Khan (Department of Applied Sciences & Humanities Jamia Millia Islamia) ;
  • Quddus Khan (Department of Applied Sciences & Humanities Jamia Millia Islamia) ;
  • Mohd Vasiulla (Department of Applied Sciences & Humanities Jamia Millia Islamia)
  • Received : 2023.02.11
  • Accepted : 2023.04.26
  • Published : 2023.10.31
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Abstract

The object of the present paper is to introduce a type of non-flat Riemannian manifold, called a weakly cyclic generalized B-symmetric manifold (W CGBS)n. We obtain a sufficient condition for a weakly cyclic generalized B-symmetric manifold to be a generalized quasi Einstein manifold. Next we consider conformally flat weakly cyclic generalized B-symmetric manifolds. Then we study Einstein (W CGBS)n (n > 2). Finally, it is shown that the semi-symmetry and Weyl semi-symmetry are equivalent in such a manifold.

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Acknowledgement

We gratefully acknowledge the constructive comments from the editor and the anonymous referees.

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