Topology of some Kähler manifolds

K. Srinivasacharyulu

Vol. 23 (1967), No. 1, 167–169

DOI: 10.2140/pjm.1967.23.167

Abstract

Goldberg and Bishop have shown that a homogeneous Kähler manifold of positive holomorphic curvature is isometric to the complex projective space with the usual metric. The aim of this note is to prove that such a Kähler manifold is isomorphic to the complex projective space.

Mathematical Subject Classification

Primary: 57.60

Secondary: 53.00

Milestones

Received: 28 February 1966

Published: 1 October 1967