Tangent Bundles of <i>P</i>-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection

Abstract

The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent bundle TM. Certain results on a semisymmetric P-Sasakian manifold, generalized recurrent P-Sasakian manifolds, and pseudo-symmetric P-Sasakian manifolds on TM are proved.

Keywords

• Sasakian manifolds
• quarter-symmetric metric connection
• mathematical operators
• tangent bundles
• pseudosymmetric manifolds
• partial differential equations