On Quasi-para-Sasakian Structures on 5-dimensions

Authors : Şirin Aktay, Ümmü Kocabaş

Pages : 75-86

Doi:10.33484/sinopfbd.1295803

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Publication Date : 2023-07-21

Article Type : Research Article

Abstract :In this study, we investigate the existence of quasi-para-Sasakian structures on five dimensional nilpotent Lie algebras. There are six non-abelian nilpotent Lie algebras. We show that quasi-para-Sasakian structures exist only on one of these algebras. Quasi-para-Sasakian structures correspond to the class G_5+G_8 in the classification of almost paracontact metric structures. We show that a quasi-para-Sasakian structure on a five dimensional nilpotent Lie algebra is either in G_5 or G_8.
Keywords : Hemen-hemen Parakontak Metrik Yapı, 5-boyutlu Nilpotent Lie Cebri, Kuasi-para-Sasaki Yapı