A STUDY ON W7-CURVATURE TENSOR IN PARA-SASAKIAN MANIFOLD ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION
GURUPADAVVA INGALAHALLI *
Department of Mathematics, J.N.N. College of Engineering, Shimoga-577 204, Karnataka, India.
S. C. ANIL
Department of Mathematics, J.N.N. College of Engineering, Shimoga-577 204, Karnataka, India.
C. S. BAGEWADI
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
The objective of the present paper is to study the relation between the Levi-Civita connection and the quarter-symmetric metric connection in a para-Sasakian manifold. Next, we study ξ-W˜7-flat, ˜ W7. \(\tilde{Q}\) =0, \(\phi\)-Ricci symmetric, Locally W7-\(\phi\)-symmetric conditions in para-Sasakian manifold with respect to the quarter-symmetric metric connection.
Keywords: Para-Sasakian manifolds, connection, Symmetric