There has been fundamental progress in complex differential geometry in the last two decades. For one, The uniformization theory of canonical K�hler metrics has been established in higher dimensions, and many applications have been found, including the use of Calabi-Yau spaces in superstring theory. This monograph gives an introduction to the theory of canonical K�hler metrics on complex manifolds. It also presents some advanced topics not easily found elsewhere.

Recensione

"This little monograph offers an essentially self-contained introduction to the theory of canonical K�hler metrics on complex manifolds. ...The author presents some advanced topics which are hard [to] find elsewhere... This graduate course on K�hler-Einstein metrics can be recommended to all those interested in recent developments within complex differential geometry."

--Publicationes Mathematicae

"This monograph includes an essentially self-contained introduction to the theory of canonical K�hler metrics on complex manifolds."

--Zentralblatt Math

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