Author Description

"The aim of this monograph is to give an essentially self-contained introduction to the theory of canonical Kahler metrics on complex manifolds. It also presents the reader with some advanced topics in complex differential geometry not easily found elsewhere. The topics include Calabi-Futaki invariants, extremal Kahler metrics, the Calabi-Yau theorem on existence of Kahler Ricci-flat metrics, and recent progress on Kahler-Einstein metrics with positive scalar curvature. Applications of Kahler-Einstein metrics to the uniformization theory are also discussed." "Readers with a good general knowledge of differential geometry and partial differential equations should be able to grasp and appreciate the materials in this monograph."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved