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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

Quasi-Sasakian Structures on 5-dimensional Nilpotent Lie Algebras

Nülifer ÖZDEMİR
Şirin AKTAY
Mehmet SOLGUN
Pages
326–333
Publication Date
2019-02-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, subclasses of quasi-Sasakian structures are studied for some certain classes.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we examine the existence of quasi-Sasakian structures on nilpotent Lie algebras of dimension five.
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Key Findings & Data:In addition, we give some results about left invariant quasi-Sasakian structures on Lie groups of dimension five, whose Lie algebras are nilpotent.
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Conclusion & Impact:Moreover, subclasses of quasi-Sasakian structures are studied for some certain classes.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:5-dimensional nilpotent Lie algebra · almost contact metric structure · quasi-Sasakian structure

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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Cite This Article

ÖZDEMİR, N., AKTAY, Ş., SOLGUN, M. (2019). Quasi-Sasakian Structures on 5-dimensional Nilpotent Lie Algebras. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 1, 326–333. https://ajindex.com/articles/747044

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References (8)

  1. Morimoto, A. On Normal Almost Contact Structures. J. Math. Soc. Japan, 15 (4), (1963) 420-436.
  2. Andrada, A., Fino, A., Vezzoni, L. 2009. A Class of Sasakian 5-Manifolds. Transform. Groups, 14 (3), 493-512.
  3. Calvaruso, G., Fino, A., Five-dimensional K-contact Lie algebras. Monatsh Math., 167, (2012) 35-59.
  4. Özdemir, N., Solgun, M., Aktay, Ş., Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras. Symmetry, 76 (8), (2016) 13 pages. Chinea, D., Gonzales, C., A Classification of Almost Contact Metric Manifolds. Ann. Mat. Pura Appl., 156 (4), (1990) 15-36.
  5. Alexiev, V., Ganchev, G., 1986. On the Classification of the Almost Contact Metric Manifolds. Math. and Educ. in Math., Proc. of the XV Spring Conf. of UBM, Sunny Beach, 155-161.
  6. Dixmier, J., Sur les Representations Unitaires des Groupes de Lie Nilpotentes III. Canad. J. Math., 10, (1958) 321-348.
  7. Gong, M.P., Classification of nilpotent Lie algebras of dimension 7, University of Waterloo, Ph.D. Thesis, 173 pages, Waterloo, Ontario, Canada.1998. de Graaf, W. A., Classification of 6-dimensional Nilpotent Lie Algebras Over Fields of Characteristic not 2. J. Algebra, 309, (2007) 640-653.
  8. Blair, D.E., The Theory of Quasi-Sasakian Structures. J. Differential Geometry, 1, (1967) 331-345.