SOME RESULTS ON QUARTER-SYMMETRIC METRIC CONNECTION ON A PARA-SASAKIAN MANIFOLDS
S. YADAV(1), D.L. SUTHAR(2) and D. NARAIN(3)
1. Department of Mathematics Poornima College of Engineering, ISI-6, RIICO Institutional Area, Sitapura, Jaipur, (302022), Rajasthan, INDIA e-mail: prof_sky16@yahoo.com, 2. Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, South Wollo, Amhara Region, ETHIOPIA e-mail: dlsuthar@gmail.com 3. Department of Mathematics and Statistics Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur, (INDIA) e-mail: profdndubey@yahoo.co.in
Abstract
We classify para-Sasakian manifolds with respect to quarter-symmetric metric connection. Among others it is proved that ϕ -concircularly at para-Sasakian manifold is an η-Einstein manifold and a non-semisymmetric Ricci-generalized pseudosymmetric para-Sasakian manifold has constant curvature if and only if the space like vector field ξ is harmonic. Para-Sasakian manifolds admitting certain conditions on the concircular curva-ture tensor and Ricci tensor are studied and several new results are obtained.