Quasi-Sasakian Structures on 5-dimensional Nilpotent Lie Algebras

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

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