Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection

Bilal Eftal Acet, Erol Kılıç and Selcen Yüksel Perktaş

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-24

Abstract:

We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an -Einstein manifold. We also investigate some properties of curvature tensor, conformal curvature tensor, -curvature tensor, concircular curvature tensor, projective curvature tensor, and pseudo-projective curvature tensor with respect to canonical paracontact connection on a para-Sasakian manifold. It is shown that a concircularly flat para-Sasakian manifold with respect to canonical paracontact connection is of constant scalar curvature. We give some characterizations for pseudo-projectively flat para-Sasakian manifolds.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:395462

DOI: 10.1155/2012/395462

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