| 000 | 03689nam a22005055i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-00819-6 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151836.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 131001s2013 gw | s |||| 0|eng d | ||
| 020 |
_a9783319008196 _9978-3-319-00819-6 |
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| 024 | 7 |
_a10.1007/978-3-319-00819-6 _2doi |
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| 050 | 4 | _aQA331.7 | |
| 072 | 7 |
_aPBKD _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aPBKD _2thema |
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| 082 | 0 | 4 |
_a515.94 _223 |
| 245 | 1 | 3 |
_aAn Introduction to the Kähler-Ricci Flow _h[electronic resource] / _cedited by Sebastien Boucksom, Philippe Eyssidieux, Vincent Guedj. |
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2013. |
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| 300 |
_aVIII, 333 p. 10 illus. _bonline resource. |
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| 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 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2086 |
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| 505 | 0 | _aThe (real) theory of fully non linear parabolic equations -- The KRF on positive Kodaira dimension Kähler manifolds -- The normalized Kähler-Ricci flow on Fano manifolds -- Bibliography. | |
| 520 | _aThis volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory of the Kähler-Ricci flow and its current state-of-the-art. While several excellent books on Kähler-Einstein geometry are available, there have been no such works on the Kähler-Ricci flow. The book will serve as a valuable resource for graduate students and researchers in complex differential geometry, complex algebraic geometry and Riemannian geometry, and will hopefully foster further developments in this fascinating area of research. The Ricci flow was first introduced by R. Hamilton in the early 1980s, and is central in G. Perelman’s celebrated proof of the Poincaré conjecture. When specialized for Kähler manifolds, it becomes the Kähler-Ricci flow, and reduces to a scalar PDE (parabolic complex Monge-Ampère equation). As a spin-off of his breakthrough, G. Perelman proved the convergence of the Kähler-Ricci flow on Kähler-Einstein manifolds of positive scalar curvature (Fano manifolds). Shortly after, G. Tian and J. Song discovered a complex analogue of Perelman’s ideas: the Kähler-Ricci flow is a metric embodiment of the Minimal Model Program of the underlying manifold, and flips and divisorial contractions assume the role of Perelman’s surgeries. | ||
| 650 | 0 | _aDifferential equations, partial. | |
| 650 | 0 | _aGlobal differential geometry. | |
| 650 | 1 | 4 |
_aSeveral Complex Variables and Analytic Spaces. _0http://scigraph.springernature.com/things/product-market-codes/M12198 |
| 650 | 2 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
| 650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
| 700 | 1 |
_aBoucksom, Sebastien. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 700 | 1 |
_aEyssidieux, Philippe. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 700 | 1 |
_aGuedj, Vincent. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319008189 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319008202 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2086 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-00819-6 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c12071 _d12071 |
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