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The Ricci flow
Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifolds to better metrics in the search for geometric decompositions. With the fourth part of their volume on techniques and applications of the theory, the authors discuss long-time solutions of the Ricc...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
American Mathematical Society
2015
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Materias: | |
Acceso en línea: | http://cds.cern.ch/record/2264094 |
_version_ | 1780954293692530688 |
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author | Chow, Bennett Chu, Sun-Chin Glickenstein, David Isenberg, James |
author_facet | Chow, Bennett Chu, Sun-Chin Glickenstein, David Isenberg, James |
author_sort | Chow, Bennett |
collection | CERN |
description | Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifolds to better metrics in the search for geometric decompositions. With the fourth part of their volume on techniques and applications of the theory, the authors discuss long-time solutions of the Ricci flow and related topics. In dimension 3, Perelman completed Hamilton's program to prove Thurston's geometrization conjecture. In higher dimensions the Ricci flow has remarkable properties, which indicates its usefulness to understand relations between the geometry and topology of manifolds. This b |
id | cern-2264094 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2015 |
publisher | American Mathematical Society |
record_format | invenio |
spelling | cern-22640942021-04-21T19:13:49Zhttp://cds.cern.ch/record/2264094engChow, BennettChu, Sun-ChinGlickenstein, DavidIsenberg, JamesThe Ricci flowMathematical Physics and MathematicsRicci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifolds to better metrics in the search for geometric decompositions. With the fourth part of their volume on techniques and applications of the theory, the authors discuss long-time solutions of the Ricci flow and related topics. In dimension 3, Perelman completed Hamilton's program to prove Thurston's geometrization conjecture. In higher dimensions the Ricci flow has remarkable properties, which indicates its usefulness to understand relations between the geometry and topology of manifolds. This bAmerican Mathematical Societyoai:cds.cern.ch:22640942015 |
spellingShingle | Mathematical Physics and Mathematics Chow, Bennett Chu, Sun-Chin Glickenstein, David Isenberg, James The Ricci flow |
title | The Ricci flow |
title_full | The Ricci flow |
title_fullStr | The Ricci flow |
title_full_unstemmed | The Ricci flow |
title_short | The Ricci flow |
title_sort | ricci flow |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/2264094 |
work_keys_str_mv | AT chowbennett thericciflow AT chusunchin thericciflow AT glickensteindavid thericciflow AT isenbergjames thericciflow AT chowbennett ricciflow AT chusunchin ricciflow AT glickensteindavid ricciflow AT isenbergjames ricciflow |