Nearly Kaehler manifolds

A nearly Kaehler manifold is a special almost hermitian manifold. The geometry and topology of a nearly Kaehler manifold are studied. Contents: introduction; nearly Kaehler manifolds which are not Kaehler; sectional curvatures of a nearly Kaehler manifold; homotopy groups of a nearly Kaehler manifold; cohomology structure of a nearly Kaehler manifold; Chern classes of a nearly Kaehler manifold; submanifolds of a nearly Kaehler mainfold; nearly Kaehler structure in a local co-ordinate system. (author)