SOME APPLICATIONS OF KIRICHENKO TENSORS,Analele Universitatii OradeaFasc. Matematica, Tom XVII (2010), Issue No. 2, 201-208

A short description of structural and virtual Kirichenko tensors that form a compete system of rst-order dierential-geometrical invariants of an arbitrary almost Hermitian structure is given. In two ways it is proved that an almost Hermitian structure is integrable if and only if its structural Kirichenko tensors vanish. A characterization of Gray-Hervella classes of almost Hermitian structures in terms of Kirichenko tensors is given