Lectures on the Ricci Flow / (Record no. 41383)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02304nam a22003738a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780511721465 (ebook) |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.362 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Topping, Peter, |
| 245 10 - TITLE STATEMENT | |
| Title | Lectures on the Ricci Flow / |
| Statement of responsibility, etc | Peter Topping. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cambridge : |
| Name of publisher | Cambridge University Press, |
| Year of publication | 2006. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (124 pages) : |
| Other physical details | digital, PDF file(s). |
| 490 0# - SERIES STATEMENT | |
| Series statement | London Mathematical Society Lecture Note Series ; |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 16 Oct 2015). |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Hamilton'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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Ricci flow |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1017/CBO9780511721465 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Cambridge : |
| -- | Cambridge University Press, |
| -- | 2006. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK12089 | http://dx.doi.org/10.1017/CBO9780511721465 | E-BOOKS |