%0 Journal Article
%T On $(\varepsilon)$-para Sasakian 3-manifolds
%A Selcen Y¨¹ksel Perkta£¿
%A Erol K£¿l£¿ £¿
%A Mukut Mani Tripathi
%A Sad£¿k Kele£¿
%J Mathematics
%D 2009
%I arXiv
%X In this paper we study the 3-dimensional $(\varepsilon) $-para Sasakian manifolds. We obtain an necessary and sufficient condition for an $(\varepsilon ) $-para Sasakian 3 -manifold to be an indefinite space form. We show that a Ricci-semi-symmetric $(\varepsilon) $-para Sasakian 3 -manifold is an indefinite space form. We investigate the necessary and sufficient condition for an $(\varepsilon) $-para Sasakian 3 -manifold to be locally $\varphi $-symmetric. It is proved that in an $ (\varepsilon) $-para Sasakian 3-manifold with $\eta $ -parallel Ricci tensor the scalar curvature is constant. It is also shown that every $(\varepsilon) $-para Sasakian 3-manifolds is pseudosymmetric in the sense of R. Deszcz.
%U http://arxiv.org/abs/0911.4786v2