2009/11/25 by Selcen Yüksel Perktaş, Erol Kılıç, Perktaş, Selcen Yüksel +5
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
paper · pdf · doi:10.48550/arxiv.0911.4786
In this paper we study the 3-dimensional (ε) -para Sasakian manifolds. We obtain an necessary and sufficient condition for an (ε ) -para Sasakian 3 -manifold to be an indefinite space form. We show that a Ricci-semi-symmetric (ε) -para Sasakian 3 -manifold is an indefinite space form. We investigate the necessary and sufficient condition for an (ε) -para Sasakian 3 -manifold to be locally φ-symmetric. It is proved that in an (ε) -para Sasakian 3-manifold with η -parallel Ricci tensor the scalar curvature is constant. It is also shown that every (ε) -para Sasakian 3-manifolds is pseudosymmetric in the sense of R. Deszcz.