Geometry of complex Monge-Ampère equations on compact Kähler manifolds
Geometry of complex Monge-Ampère equations on compact Kähler manifolds
In the mid 70's, Aubin-Yau solved the problem of the existence of Kahler metrics with constant negative or identically zero Ricci curvature on compact Kahler manifolds. In particular, they proved the existence and regularity of the solution of the complex Monge-Ampere equation (\omega+dd^c \varphi)^n= f\omega^n where the reference form ω …