02298nam a22003855a 450000100100000000300120001000500170002200600190003900700150005800800410007302000180011402400210013204000140015307200170016708400290018410000310021324500770024426000820032126400820040330000340048533600260051933700260054533800360057134700240060749000500063150600650068152008550074665000470160165000310164865000550167965000480173470000310178285600320181385600670184542-091109CH-001817-320170613140733.0a fot ||| 0|cr nn mmmmamaa091109e20060710sz fot ||| 0|eng d a978303719525370a10.4171/0252doi ach0018173 7aPBMP2bicssc a53-xxa32-xxa58-xx2msc1 aBallmann, Werner,eauthor.10aLectures on Kähler Manifoldsh[electronic resource] /cWerner Ballmann3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2006 1aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2006 a1 online resource (182 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aESI Lectures in Mathematics and Physics (ESI)1 aRestricted to subscribers:uhttp://www.ems-ph.org/ebooks.php aThese 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.07aDifferential & Riemannian geometry2bicssc07aDifferential geometry2msc07aSeveral complex variables and analytic spaces2msc07aGlobal analysis, analysis on manifolds2msc1 aBallmann, Werner,eauthor.40uhttps://doi.org/10.4171/025423cover imageuhttp://www.ems-ph.org/img/books/ballmann_mini.jpg