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.
Semisymmetric metric connection, Almost contact $B-$metric manifold, Ricci-like soliton
"A semi-symmetric metric connection on almost contact B-metric manifolds,"
Turkish Journal of Mathematics: Vol. 45:
6, Article 8.
Available at: https://journals.tubitak.gov.tr/math/vol45/iss6/8