HEISENBERG, SPHERICAL CR-GEOMETRY AND BOCHNER FLAT LOCALLY CONFORMAL KÄHLER MANIFOLDS

This is a survey article for the relationship between spherical CR-manifolds and Bochner flat Kähler manifolds. We shall give a uniformization of Bochner flat Kähler manifolds. A Bochner flat locally conformal Kähler manifold is a locally conformal Kähler manifold with vanishing Bochner curvature tensor. We shall apply our result to Bochner flat locally conformal Kähler manifolds.