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

Year 2018, Volume: 6 Issue: 2, 57 - 65, 31.10.2018

İrem Küpeli Erken

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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