On semi-symmetric non-metric connexion

H. A. Hayden [1] introduced the idea of semi-symmetric non-metric connection on a Riemannian manifold in (1932). Agashe and Chafle \cite{1} defined and studied semi-symmetric non-metric connection on a Riemannian manifold. In the present paper, we define a new type of semi-symmetric non-metric connexion in an almost contact metric manifold and studied its properties. In the end, we have studied some properties of the covariant almost analytic vector field equipped with semi-symmetric non-metric connection.