Quasi-Sasakian Structures on 5-dimensional Nilpotent Lie Algebras

Authors : Nülifer ÖZDEMİR, Şirin AKTAY, Mehmet SOLGUN

Pages : 326-333

Doi:10.31801/cfsuasmas.416563

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Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this study, we examine the existence of quasi-Sasakian structures on nilpotent Lie algebras of dimension five. In addition, we give some results about left invariant quasi-Sasakian structures on Lie groups of dimension five, whose Lie algebras are nilpotent. Moreover, subclasses of quasi-Sasakian structures are studied for some certain classes.
Keywords : 5 dimensional nilpotent Lie algebra, almost contact metric structure, quasi Sasakian structure