Three Dimensional Trans-Sasakian Manifold Admitting Quarter Symmetric Metric Connection
B. Sumangala
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.
Venkatesha . *
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
The object of this paper is to study quarter-symmetric metric connection on a trans-Sasakian manifold. Here we study locally ∅-symmetric,∅-symmetric and concircular ∅-symmetric trans- Sasakian manifold with respect to quarter symmetric metric connection and obtained some interesting results.
Keywords: Quarter symmetric metric connection, Trans-Sasakian manifold, -symmetry.