ENGLISH

Lectures on Kähler Manifolds (Esi Lectures in Mathematics and Physics)

By Werner Ballmann

Book information

Publisher
European Mathematical Society
Year
2006
ISBN
3037190256, 9783037190258
Open Library ID
OL9012931M
Language
english
Format
PDF
Filesize
1 MB (1267312 bytes)
Series
Esi Lectures in Mathematics and Physics
Pages
183\183
Time added
2010-05-31 15:29:46

Description

These notes are based on lectures the author gave at the University of Bonn and the Erwin Schrödinger Institute in Vienna. The aim is to give a thorough introduction to the theory of Kähler manifolds with special emphasis on the differential geometric side of Kähler geometry. The exposition starts with a short discussion of complex manifolds and holomorphic vector bundles and a detailed account of the basic differential geometric properties of Kähler manifolds. The more advanced topics are the cohomology of Kähler manifolds, Calabi conjecture, Gromov's Kähler hyperbolic spaces, and the Kodaira embedding theorem. Some familiarity with global analysis and partial differential equations is assumed, in particular in the part on the Calabi conjecture. There are appendices on Chern-Weil theory, symmetric spaces, and $L^2$-cohomology. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

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