TRANS-PARA-SASAKIAN MANIFOLDS SATISFYING CERTAIN CURVATURE CONDITIONS

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. © 2024, Department of Mathematics at Ferdowsi University of Mashhad. All rights reserved.