A general view to classification of almost Hermitian manifolds

Abstract

In this paper, firstly, we obtain the higher order vertical and complete lifts of type (1,1) and type (0,2) by means of lifted geometric structures on extended complex manifolds. Then using higher order lifting theory, we generalize the classification of almost Hermitian manifolds M to the extended complex manifolds kM. © 2003, EUT Edizioni Universita di Trieste.