On Point Separation of Bergman Space on Stein Manifolds with Constant Holomorphic Sectional Curvature

We prove that the Bergman space of a Stein manifold separates points whenever its Bergman metric is well defined and has non-positive constant holomorphic sectional curvature. We construct examples of Stein manifolds whose Bergman metric is well defined and has positive constant holomorphic sectio