- Mathematical Sciences and Applications E-Notes
- Vol: 6 Issue: 2
- Three Dimensional Quasi-Para-Sasakian Manifolds Satisfying Certain Curvature Conditions
Three Dimensional Quasi-Para-Sasakian Manifolds Satisfying Certain Curvature Conditions
Authors : Irem Küpeli Erken
Pages : 57-65
View : 6 | Download : 2
Publication Date : 2018-10-31
Article Type : Research
Abstract :The object of the present paper is to study some classes of 3-dimensional quasi-para-Sasakian manifolds with beta =const. We investigated 3-dimensional quasi-para-Sasakian manifolds with beta=const. 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. Also, a 3-dimensional concircularly flat quasi-para-Sasakian manifold with beta =const. is studied. Finally, an example of 3-dimensional proper quasi-para-Sasakian manifold with beta =const. is given.Keywords : quasi-para-Sasakian manifold, Einstein manifold, concircularly flat, Projective curvature tensor