Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds

Abstract

We prove $C^{\infty }$ convergence for suitably normalized solutions of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds. This provides a parabolic proof of a recent result of Tosatti and Weinkove.

21 pages, some minor corrections, to appear in Comm. Anal. Geom