Almost Contact B-Metric Structure on 5-Dimensional Nilpotent Lie algebras

Authors : Şenay BULUT, Sevgi ENVEŞ ERMİŞ

Pages : 87-97

Doi:10.36890/iejg.630746

View : 20 | Download : 6

Publication Date : 2020-10-15

Article Type : Research Paper

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 $\mathcal{F}_{i}$ $\leftinsert ignore into journalissuearticles values( 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