ON WEAKLY CYCLIC GENERALIZED B-SYMMETRIC MANIFOLDS

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 consid...

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Veröffentlicht in:	Communications of the Korean Mathematical Society 2023, Vol.38 (4), p.1271-1280
Hauptverfasser:	Mohabbat Ali, Aziz Ullah Khan, Quddus Khan, Mohd Vasiulla
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Sprache:	kor
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creator	Mohabbat Ali Aziz Ullah Khan Quddus Khan Mohd Vasiulla
description	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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title	ON WEAKLY CYCLIC GENERALIZED B-SYMMETRIC MANIFOLDS
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