On φ-pseudo symmetric LP-Sasakian manifolds with respect to quarter-symmetric non-metric connections

  • Santu Dey Faculty of Science, Department of Mathematics, Jadavpur University, Kolkata 700032
  • Arindam Bhattacharyya Faculty of Science, Department of Mathematics, Jadavpur University, Kolkata 700032
Keywords: quarter-symmetric non-metric connection, ?-pseudo symmetric LP-Sasakian manifold, ?-pseudo Ricci symmetric LP-Sasakian manifold

Abstract

The object of the present paper is to study φ-pseudo symmetric and φ-pseudo Ricci symmetric LP-Sasakian manifolds with respect to Levi–Civita connections and quarter-symmetric non-metric connections. We obtain a necessary and sufficient condition for a φ-pseudo symmetric LP-Sasakian manifold with respect to a quarter symmetric non-metric connection to be φ-pseudo symmetric LP-Sasakian manifold with respect to a Levi–Civita connection.
Published
2016-12-02
Section
Articles