On para-Sasakian manifolds with canonical paracontact connection
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 3)Publication Date: 2016-06-01
Authors : Bilal Acet; Selcen Yuksel Perktas;
Page : 162-173
Keywords : Para-Sasakian manifold canonical paracontact connection.;
Abstract
The object of the present paper is to study a para-Pasakian mani- fold with a canonical paracontact connection. We prove that phi-conformally flat, phi-concircularly flat and phi-projectively flat para-Sasakian manifolds with respect to canonical paracontact connection are all eta-Einstein manifolds. Also, it is shown that a quasi-concircularly flat para-Sasakian manifold is of constant scalar curva- ture.
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