- International Electronic Journal of Geometry
- Vol: 13 Issue: 2
- Almost Contact B-Metric Structure on 5-Dimensional Nilpotent Lie algebras
Almost Contact B-Metric Structure on 5-Dimensional Nilpotent Lie algebras
Authors : Şenay Bulut, Sevgi Enveş Ermiş
Pages : 87-97
Doi:10.36890/iejg.630746
View : 6 | Download : 2
Publication Date : 2020-10-15
Article Type : Research
Abstract :The classification of almost contact $B-$metric manifolds is considered. It is shown that $\mathcal{D}-$homothetic deformation of these manifolds in the class $\mathcal{F}_{i}$ $\left( i=0,1,4,5\right) $ remains in the same the class $\mathcal{F}_{i}$. We study almost contact $B-$metric structure on $5-$dimensional nilpotent Lie algebras. The class of the left invariant almost contact $B-$metric structures on corresponding Lie groups is investigated. Finally, we determine the class of $5-$dimensional nilpotent Lie algebras with almost contact $B-$metric structure.Keywords : 5-dimensional nilpotent lie algebra, almost contact $B-$metric manifold, fundamental tensor