Şenay BULUT

A semisymmetric metric connection on almost contact B−metric manifolds

The object of the present paper is to study a semisymmetric metric connection on an almost contact B−metric manifold. We deduce a relation between the Levi–Civita connection and the semisymmetric metric connection on the considered manifold. We determined the class of the torsion tensor corresponding to the semisymmetric connection. We study Ricci-like solitons on almost contact B−metric manifolds with the semisymmetric connection. Finally, we give some examples to considered manifolds with the semisymmetric connection.

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