The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits

ADIABATIC LIMITS OF RICCI - FLAT KÄHLER METRICS 3 from

We study adiabatic limits of Ricci-flat Kähler metrics on a Calabi-Yau manifold which is the total space of a holomorphic fibration when the volume of the fibers goes to zero. By establishing some new a priori estimates for the relevant complex Monge-Ampère equation, we show that the Ricci-flat metrics collapse (away from the singular fibers) to a metric on the base of the fibration. This metri...

Ricci Flow on Kähler-einstein Surfaces

0 Ricci flow on Kähler - Einstein surfaces

Ricci Flow on Kähler-einstein Manifolds

0 Ricci flow on Kähler manifolds