Géométrie des équations de Monge-Ampère complexes sur des variétés kähleriennes compactes

We study compactness and uniform convergence in the class of solutions to the Dirichlet problem for the Monge-Amp` ere equation, using some equiconti- nuity tools.. AMS 2000

Finally, using our variational characterization we prove the existence, uniqueness and convergence as k → ∞ of k-balanced metrics in the sense of Donaldson both in the

The first ingredient of our proof is the power deterioration of all derivatives of solutions to Monge–Ampère equations with constant right-hand side (Lemma 1.1), which we prove

DELANOË, Équations du type de Monge-Ampère sur les variétés Riemanniennes compactes, I. DELANOË, Équations du type de Monge-Ampère sur les variétés

The latter condition together with effectiveness of co allows us to consider o as a differential form on T* M and the classification problem of Monge-Ampere operators given by

We will prove a global viscosity comparison principle for degenerate com- plex Monge-Amp`ere equations on compact K¨ ahler manifolds and show how to combine Viscosity methods

Objective: Logarithmic barrier for the space of support functions of convex bodies... Support Functions of

In Chapter III we prove Josefson’s theorem and Bedford-Taylor’s theorem on negligible sets and then use them to present the theory of three kinds of extremal plurisubharmonic