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Field name	Details
Title	Lectures on Kähler Manifolds ([EBook] /) / Werner Ballmann
Author	Ballmann, Werner
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2006
Physical Details	1 online resource (182 pages)
Series	ESI Lectures in Mathematics and Physics (ESI)
ISBN	9783037195253
Summary Note	These notes are based on lectures the author held 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 L2-cohomology.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/025
See Also	https://www.ems-ph.org/img/books/ballmann_mini.jpg
Links to Related Works	Subject References: Differential Geometry . Differential & Riemannian geometry . Global analysis, analysis on manifolds . Several Complex Variables and Analytic Spaces . Authors: author . Ballmann, Werner . Series: ESI Lectures in Mathematics and Physics (ESI) .

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Lectures on Kähler Manifolds

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