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

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.

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International Electronic Journal of Geometry-Cover

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2008
Yayıncı: Prof.Dr. H.Hilmi Hacısalioğlu

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