In the present paper, we have defined a Hsu-unified structure manifold and a Hsu-Kahler manifold and studied some properties of the quarter-symmetric non-metric connection. Certain interesting results on such manifolds have been obtained. We have also studied the properties of the contravariant almost analytic vector field on these manifolds equipped with the quarter-symmetric non-metric connection.
Bulletin of Mathematical Sciences and Applications (Volume 3)
R. Nivas and A. Agnihotri, "On a Hsu-Unified Structure Manifold with a Quarter-Symmetric Non-Metric Connection", Bulletin of Mathematical Sciences and Applications, Vol. 3, pp. 63-70, 2013