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Canonical metrics in Kähler geometry

✍ Scribed by G. Tian

Publisher
Birkhäuser
Year
2000
Tongue
English
Leaves
107
Edition
1
Category
Library
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✦ Synopsis

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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Canonical metrics in Kahler geometry
📁 Canonical metrics in Kahler geometry
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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.

Canonical Metrics in Kaehler Geometry
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<P>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 theo

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<span>The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases. In this book, the unsolved cases of the conjecture wi

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<p><p>In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure.</p><p>On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compa

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<p><p>In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure.</p><p>On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compa