Trans-para-Sasakian manifolds satisfying certain curvature conditions

Document Type : Original Article

Authors

Mustafa Özkan

İrem Küpeli Erken

Department of Mathematics, Faculty of Natural Sciences and Engineering, Bursa Technical University, Bursa, TURKEY

10.22034/kjm.2024.472214.3277

Abstract

‎The main aim of this paper is to study $(2n+1)$-dimensional trans-para-Sasakian manifolds satisfying the curvature conditions $P.Q = 0$‎, ‎$Q.P = 0$‎, ‎$P.R = 0$‎, ‎where $P$ is the projective curvature tensor‎, ‎$Q$ is the Ricci operator‎, ‎and $R$ is the Riemannian curvature tensor‎. ‎Finally‎, ‎a 3-dimensional trans-para-Sasakian manifold example that satisfies our results is constructed‎.
 

Keywords

Trans-para-Sasakian manifolds

Projectively curvature tensor

Einstein manifold

Subjects

• 53 Differential geometry

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