QUASI-SASAKIAN STRUCTURES ON 5-DIMENSIONAL NILPOTENT LIE ALGEBRAS
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.68, no.1, pp.326-333, 2019 (ESCI, TRDizin)
- 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.