000 | 02998nam a22004815i 4500 | ||
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001 | 978-3-540-39172-2 | ||
003 | DE-He213 | ||
005 | 20190213151149.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1988 gw | s |||| 0|eng d | ||
020 |
_a9783540391722 _9978-3-540-39172-2 |
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024 | 7 |
_a10.1007/BFb0078084 _2doi |
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050 | 4 | _aQA641-670 | |
072 | 7 |
_aPBMP _2bicssc |
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072 | 7 |
_aMAT012030 _2bisacsh |
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072 | 7 |
_aPBMP _2thema |
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082 | 0 | 4 |
_a516.36 _223 |
100 | 1 |
_aFutaki, Akito. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aKähler-Einstein Metrics and Integral Invariants _h[electronic resource] / _cby Akito Futaki. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1988. |
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300 |
_aIV, 140 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1314 |
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505 | 0 | _aPreliminaries -- Kähler-Einstein metrics and extremal Kähler metrics -- The character f and its generalization to Kählerian invariants -- The character f as an obstruction -- The character f as a classical invariant -- Lifting f to a group character -- The character f as a moment map -- Aubin's approach and related results. | |
520 | _aThese notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kähler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kähler-Einstein metric and lifting to a group character. Other related topics such as extremal Kähler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Kählerian geometry and Chern-Simons theory are presented in full detail, these notes are accessible to graduate students as well as to specialists of the subject. | ||
650 | 0 | _aGlobal differential geometry. | |
650 | 0 | _aGeometry, algebraic. | |
650 | 1 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662207192 |
776 | 0 | 8 |
_iPrinted edition: _z9783540192503 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1314 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0078084 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9741 _d9741 |