11/17/2006

Zbigniew Blocki
IM, Krakow Poland

The complex Hessian equation on compact Kaehler manifolds

The Hessian operator is an intermediate between the Laplacian and the Monge-Ampere operator. It is a fully nonlinear elliptic operator which is a symmetric function of the eigenvalues of the Levi form. We will analyze the corresponding Dirichlet problem on compact Kaehler manifolds.