Three Dimensional Quasi-Para-Sasakian Manifolds Satisfying Certain Curvature Conditions

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Mathematical Sciences and Applications E-Notes
Volume:6 Issue:2
Three Dimensional Quasi-Para-Sasakian Manifolds Satisfying Certain Curvature Conditions

Three Dimensional Quasi-Para-Sasakian Manifolds Satisfying Certain Curvature Conditions

Authors : İrem KÜPELİ ERKEN

Pages : 57-65

View : 31 | Download : 8

Publication Date : 2018-10-31

Article Type : Research Paper

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

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