On para-Sasakian manifolds with a canonical paracontact connection

Year 2016, Volume: 4 Issue: 3, 162 - 173, 30.09.2016

Bilal Eftal Acet , Selcen Yüksel Perktaş

Abstract

The object of the present paper is to study a
para-Sasakian manifold with a canonical paracontact connection. We prove that conformally flat, concircularly flat and projectively flat para-Sasakian manifolds with respect to canonical
paracontact connection are all Einstein manifolds. Also, it is shown that a quasi-concircularly flat
para-Sasakian manifold is of constant scalar curvature.

Keywords

Para-Sasakian manifold

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