TY  - BOOK
AU  - Ballmann,Werner
AU  - Ballmann,Werner
TI  - Lectures on Kähler Manifolds
T2  - ESI Lectures in Mathematics and Physics (ESI)
SN  - 9783037195253
PY  - 2006///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Differential & Riemannian geometry
KW  - bicssc
KW  - Differential geometry
KW  - msc
KW  - Several complex variables and analytic spaces
KW  - Global analysis, analysis on manifolds
N1  - Restricted to subscribers
N2  - 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
UR  - https://doi.org/10.4171/025
UR  - http://www.ems-ph.org/img/books/ballmann_mini.jpg
ER  -