000 | 02350nam a22004095a 4500 | ||
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001 | 42-091109 | ||
003 | CH-001817-3 | ||
005 | 20170613140733.0 | ||
006 | a fot ||| 0| | ||
007 | cr nn mmmmamaa | ||
008 | 091109e20060710sz fot ||| 0|eng d | ||
020 | _a9783037195253 | ||
024 | 7 | 0 |
_a10.4171/025 _2doi |
040 | _ach0018173 | ||
072 | 7 |
_aPBMP _2bicssc |
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084 |
_a53-xx _a32-xx _a58-xx _2msc |
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100 | 1 |
_aBallmann, Werner, _eauthor. |
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245 | 1 | 0 |
_aLectures on Kähler Manifolds _h[electronic resource] / _cWerner Ballmann |
260 | 3 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2006 |
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264 | 1 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2006 |
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300 | _a1 online resource (182 pages) | ||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 0 | _aESI Lectures in Mathematics and Physics (ESI) | |
506 | 1 |
_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php |
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520 | _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. | ||
650 | 0 | 7 |
_aDifferential & Riemannian geometry _2bicssc |
650 | 0 | 7 |
_aDifferential geometry _2msc |
650 | 0 | 7 |
_aSeveral complex variables and analytic spaces _2msc |
650 | 0 | 7 |
_aGlobal analysis, analysis on manifolds _2msc |
700 | 1 |
_aBallmann, Werner, _eauthor. |
|
856 | 4 | 0 | _uhttps://doi.org/10.4171/025 |
856 | 4 | 2 |
_3cover image _uhttp://www.ems-ph.org/img/books/ballmann_mini.jpg |
942 |
_2EBK13738 _cEBK |
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999 |
_c50362 _d50362 |