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In this paper, an induced connection on a Hyper surface ofa semi-almost Hermitian manifold equipped with a quarter-symmetric non-metric connection is studied and proved that induced connection is also a quarter-symmetricnon-metric connection.Further, we have obtained We ingarten equation, equation of Gauss curvature and the Codazzi Main ardiequation of hyper surface of a semi-almost Hermitian manifold equipped with a quarter-symmetric non-metric connection. AMS Mathematics Subject Classification (2010): 53C07,53C26,53C42,53C55

In this paper, we have studied a conformal transformation between two almost Hermitian manifolds and shown that the associated Nijenhuis tensor is conformally invariant under this transformation. We have also discussed the properties of contravariant almost analytic vector field, covariant almost analytic vector field and some other properties in almost Hermitian manifold under this transformation.

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