| 000 | 02304nam a22003738a 4500 | ||
|---|---|---|---|
| 001 | CR9780511721465 | ||
| 003 | UkCbUP | ||
| 005 | 20160624102258.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100303s2006||||enk s ||1 0|eng|d | ||
| 020 | _a9780511721465 (ebook) | ||
| 020 | _z9780521689472 (paperback) | ||
| 040 |
_aUkCbUP _cUkCbUP _erda |
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| 050 | 0 | 0 |
_aQA670 _b.T66 2006 |
| 082 | 0 | 0 |
_a516.362 _222 |
| 100 | 1 |
_aTopping, Peter, _eauthor. |
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| 245 | 1 | 0 |
_aLectures on the Ricci Flow / _cPeter Topping. |
| 260 | 1 |
_aCambridge : _bCambridge University Press, _c2006. |
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| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2006. |
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| 300 |
_a1 online resource (124 pages) : _bdigital, PDF file(s). |
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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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| 490 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 325 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). | ||
| 520 | _aHamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincaré conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman's breakthroughs from 2002/2003. After describing the basic properties of, and intuition behind the Ricci flow, core elements of the theory are discussed such as consequences of various forms of maximum principle, issues related to existence theory, and basic properties of singularities in the flow. A detailed exposition of Perelman's entropy functionals is combined with a description of Cheeger-Gromov-Hamilton compactness of manifolds and flows to show how a 'tangent' flow can be extracted from a singular Ricci flow. Finally, all these threads are pulled together to give a modern proof of Hamilton's theorem that a closed three-dimensional manifold whichcarries a metric of positive Ricci curvature is a spherical space form. | ||
| 650 | 0 | _aRicci flow | |
| 776 | 0 | 8 |
_iPrint version: _z9780521689472 |
| 786 | _dCambridge | ||
| 830 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 325. |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1017/CBO9780511721465 |
| 942 |
_2EBK12089 _cEBK |
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| 999 |
_c41383 _d41383 |
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