Topology of positively pinched Kaehler manifolds

Abstract

The purpose of the present paper is to show that if the curvature of a complete Kaehler manifold M of complex dimension m does not deviate much from that of the complex projective space P m (C), then T^M) = 7i(P m (C)) for all i. Results in the same direction have been obtained by Rauch [15], Klingenberg [11] and do Carmo [ 6 ].