QUASI-SASAKIAN STRUCTURES ON 5-DIMENSIONAL NILPOTENT LIE ALGEBRAS

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ÖZDEMİR N., AKTAY Ş., SOLGUN M.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.68, no.1, pp.326-333, 2019 (ESCI)

• Publication Type: Article / Article
• Volume: 68 Issue: 1
• Publication Date: 2019
• Doi Number: 10.31801/cfsuasmas.416563
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.326-333
• Keywords: 5-dimensional nilpotent Lie algebra, almost contact metric structure, quasi-Sasakian structure, CLASSIFICATION
• Anadolu University Affiliated: Yes

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.