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In 1954 almost hyperbolic Hermitian manifold introduced by P. Libermann were classified for the first time in 1988 by C. L. Bejan. Recently in 1998 C. L. Bejan and L. Ornea constructed an example of an almost hyperbolic Hermitian manifold. Object of present paper is to study properties of quasi-Einstein almost hyperbolic Hermitian manifold with quasi-constant curvature

On quasi-Einstein almost hyperbolic Hermitian manifold with quasi-constant curvature