Dergiler / International Electronic Journal of Geometry / 2020 / Cilt: 13 - Sayı: 2

Almost Contact B−metric Structure on 5−Dimensional Nilpotent Lie Algebras

Almost Contact B−metric Structure on 5−Dimensional Nilpotent Lie Algebras

Şenay BULUT, Sevgi ENVEŞ ERMİŞ

Sayfa
87–97
DOI
—

Abstract

The classification of almost contact B−metric manifolds is considered. It is shown thatD−homothetic deformation of these manifolds in the class Fi (i = 0, 1, 4, 5) remains in the samethe class Fi. 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 isinvestigated. Finally, we determine the class of 5−dimensional nilpotent Lie algebras with almostcontact B−metric structure.