WEAK GEODESIC RAYS IN THE SPACE OF KAHLER POTENTIALS AND THE CLASS ε(X, ω)

Suppose that (X, omega) is a compact Kahler manifold. In the present work we propose a construction for weak geodesic rays in the space of Kahler potentials that is tied together with properties of the class epsilon(X, omega) As an application of our construction, we prove a characterization of epsilon(X, omega)in terms of envelopes.