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100   $a20091109j20060710  fy         0
101 0 $aeng
135   $aurnn|mmmmamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLectures on Kähler Manifolds /$fWerner Ballmann
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2006
215   $a1 online resource (182 pages)
225 0 $aESI Lectures in Mathematics and Physics (ESI)
330   $aThese notes are based on lectures the author held at the University of Bonn and the Erwin-Schro?dinger-Institute in Vienna. The aim is to give a thorough introduction to the theory of Ka?hler manifolds with special emphasis on the differential geometric side of Ka?hler 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 Ka?hler manifolds. The more advanced topics are the cohomology of Ka?hler manifolds, Calabi conjecture, Gromov's Ka?hler 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.
606   $aDifferential & Riemannian geometry$2bicssc
606   $aDifferential geometry$2msc
606   $aSeveral complex variables and analytic spaces$2msc
606   $aGlobal analysis, analysis on manifolds$2msc
615 07$aDifferential & Riemannian geometry
615 07$aDifferential geometry
615 07$aSeveral complex variables and analytic spaces
615 07$aGlobal analysis, analysis on manifolds
686   $a53-xx$a32-xx$a58-xx$2msc
700   $aBallmann$b Werner$0471658
801  0$bch0018173
906   $aBOOK
912   $a9910151937403321
996   $aLectures on Kähler manifolds$9229437
997   $aUNINA