Quasi Umbilical Manifold of Almost Hyperbolic Hermite and KH-Structure

The purpose of the present paper is to study the Quasi Umbilical manifold of Almost Hyperbolic Hermite and KH-Structure Manifold with n-dimension. Hyper-surfaces immersed in an almost hyperbolic Hermite manifolds studied by Dube [4]. GF-structure manifold have been studied by Mishra, R.S. & Singh, S.D. [10]. we have obtained the conditions for this manifold to be W-Quasi umbilical. The paper is organized as follows quasi umbilical. In section one, introductory part of almost hyperbolic Hermite manifold and KH-structure is defined some useful equations. In section two, we prove that the some theorems, definitions and corollaries in Quasi Umbilical manifolds by using Almost Hyperbolic Hermite and KH-Structure Manifolds as well as Nijenhuis tensor. In the end, we have discussed about almost Hyperbolic Hermite and KH-structure in quasi umbilical manifold.