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Lectures on the Ricci flow /
These notes represent an updated version of a course on Hamilton’s Ricci flow that I gave at the University of Warwick in the spring of 2004. I have aimed to give an introduction to the main ideas of the subject, a large proportion of which are due to Hamilton over the period since he introduced the...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2006.
|
| Colección: | London Mathematical Society lecture note series ;
no. 325. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | These notes represent an updated version of a course on Hamilton’s Ricci flow that I gave at the University of Warwick in the spring of 2004. I have aimed to give an introduction to the main ideas of the subject, a large proportion of which are due to Hamilton over the period since he introduced the Ricci flow in 1982. The main difference between these notes and others which are available at the time of writing is that I follow the quite different route which is natural in the light of work of Perelman from 2002. It is now understood how to ‘blow up’ general Ricci flows near their singularities, as one is used to doing in other contexts within geometric analysis. This technique is now central to the subject and is emphasized throughout. The original lectures were delivered to a mixture of graduate students, postdocs, staff, and even some undergraduates. Generally I assumed that the audience had just completed a first course in differential geometry, and an elementary course in PDE, and were just about to embark on a more advanced course in PDE. I tried to make the lectures accessible to the general mathematician motivated by the applications of the theory to the Poincaré conjecture, and Thurston’s geometrisation conjecture. |
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| Notas: | Title from publishers bibliographic system (viewed 22 Dec 2011). |
| Descripción Física: | 1 online resource (x, 113 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 109-111), and index. |
| ISBN: | 9780511721465 0511721463 9780521689472 0521689473 9781107367807 1107367808 9781107362895 110736289X 1139882627 9781139882620 1107372348 9781107372344 1107368510 9781107368514 |