Quasi-Sasakian Structures on 5-dimensional Nilpotent Lie Algebras

Year 2019, Volume: 68 Issue: 1, 326 - 333, 01.02.2019

Nülifer Özdemir , Şirin Aktay , Mehmet Solgun

https://doi.org/10.31801/cfsuasmas.416563

Cited By: 4

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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