Canonical Metrics in Kähler Geometry
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The uniformazation theory of canonical Kahler metrics has played an important role in the fundamental progress in complex differential geometry that has taken place in the last two decades. Accessible to those with a good general knowledge of differential, geometry and partial differential equations, this book gives a self-contained introduction to the theory of canonical Kahler metries on complex manifolds, and presents some advanced topics in complex differential geometry not easily found elsewhere.
There has been fundamental progress in complex differential geometry in the last two decades. For one, The uniformization theory of canonical Kähler 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 Kähler metrics on complex manifolds. It also presents some advanced topics not easily found elsewhere.
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