SOME RESULTS ON QUARTER-SYMMETRIC METRIC CONNECTION ON A PARA-SASAKIAN MANIFOLDS

  • S. YADAV
    Department of Mathematics Poornima College of Engineering, ISI-6, RIICO Institutional Area, Sitapura, Jaipur, (302022), Rajasthan, INDIA
  • D.L. SUTHAR
    epartment of Mathematics, Wollo University, P.O. Box: 1145, Dessie, South Wollo, Amhara Region, ETHIOPIA
  • D. NARAIN
    Department of Mathematics and Statistics Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur, (INDIA)

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.

Cuvinte cheie

Para-Sasakian manifolds ϕ-concircularly flat ϕ-sectional curvature Ricci-generalized pseudosymmetric manifold η-recurrent ϕ- parallel quarter-symmetric metric connection metrics metrical connections Einstein equations.