• QUARTER-SYMMETRIC NON -METRIC CONNECTION ON A Ka ̈HLER MANIFOLDS
Abstract
ABSTRACT
In this paper we study Ka ̈hler manifolds equipped with quarter -symmetric non -metric connection. It has been shown that a contravariant almost analytic vector field with respect to a Riemannian connection will be contravariant almost analytic with respect to the quarter -symmetric non- metric connection ∇ . we have also shown that the Nijenhuis tensor on a Ka ̈hler manifold with respect to quarter -symmetric non- metric connection identically vanishes.
In this paper we study Ka ̈hler manifolds equipped with quarter -symmetric non -metric connection. It has been shown that a contravariant almost analytic vector field with respect to a Riemannian connection will be contravariant almost analytic with respect to the quarter -symmetric non- metric connection ∇ . we have also shown that the Nijenhuis tensor on a Ka ̈hler manifold with respect to quarter -symmetric non- metric connection identically vanishes.
Keywords
Keywords: Quarter- symmetric connection, Ka ̈hler manifold, Nijenhuis tensor, contravariant almost analytic vector field.
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