CHARACTERIZATION OF FOUR-DIMENSIONAL ALMOST HERMITIAN MANIFOLD USING CHARACTERISTIC COEFFICIENFS OF JACOBI OPERATOR

In this paper we characterize some classes of almost Hermitian manifolds (M,g,J) for which at any point pМ the characteristically coefficient of Jacobi operators RX and RJX coincide. We prove that these are AH3–manifold or AH3–manifold of constant holomorphic sectional curvature or generalized complex space forms.