Quasi-Sasakian Structures on 5-dimensional Nilpotent Lie Algebras

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Date

2019-02-01

Authors

Özdemir, Nilüfer
Aktay, Şirin
Solgun, Mehmet

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Publisher

Ankara Üniversitesi

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.

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Keywords

5-dimensional nilpotent Lie algebra, Almost contact metric structure, Quasi-Sasakian structure

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