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Öğe On submanifolds of para-Sasakian manifolds(Pushpa Publishing House, 2016) Acet B.E.; Perktaş S.Y.; Kılıç E.Studying in submanifolds of para-Sasakian manifolds, we obtain that (1) semi-parallel and 2-semi-parallel invariant submanifolds are totally geodesic, (2) necessary and sufficient conditions for the integrability of distributions and (3) some characterizations for submanifolds to be semi-invariant. © 2016 Pushpa Publishing House, Allahabad, India.Öğe Some curvature conditions on a para-Sasakian manifold with canonical paracontact connection(2012) Acet B.E.; Klç E.; Yüksel Perktaş S.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, W2-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. © 2012 Bilal Eftal Acet et al.Öğe Symmetric lightlike hypersurfaces of a para-sasakian space form(Universitatii Al.I.Cuza din Iasi, 2016) Acet B.E.; Perktaş S.Y.; Kiliç E.In this paper, we study semi-symmetric, Ricci semi-symmetric and semi-parallel lightlike hypersurfaces of a para-Sasakian space form. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.