Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-2002-107
Keywords
Semisymmetric metric connection, Almost contact $B-$metric manifold, Ricci-like soliton
First Page
2455
Last Page
2465
Recommended Citation
BULUT, Ş (2021). A semi-symmetric metric connection on almost contact B-metric manifolds. Turkish Journal of Mathematics 45 (6): 2455-2465. https://doi.org/10.3906/mat-2002-107
