On locally conformal Kähler space forms (Q1063260)

The author considers locally conformal Kähler manifolds of constant holomorphic sectional curvature. He makes various tensor computations in componentwise form, and states the corresponding results. These include expressions of the curvature tensor, conditions for the manifold to be Einstein, Kähler, recurrent, etc. In all these computations a supplementary analytical hypothesis that a certain tensor is of the complex type (1,1) is made.