Finite extinction time for the solutions to the Ricci flow on certain three-manifolds Export

@misc{citeulike:1005917, abstract = {Let M be a closed oriented three-manifold, whose prime decomposition contains no aspherical factors. We show that for any initial riemannian metric on M the solution to the Ricci flow with surgery, defined in our previous paper <a href="/abs/math.DG/0303109">math.DG/0303109</a>, becomes extinct in finite time. The proof uses a version of the minimal disk argument from 1999 paper by Richard Hamilton, and a regularization of the curve shortening flow, worked out by Altschuler and Grayson.}, archivePrefix = {arXiv}, author = {Perelman, Grisha}, citeulike-article-id = {1005917}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0307245}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0307245}, day = {17}, eprint = {math/0307245}, keywords = {3-manifold}, month = {Jul}, posted-at = {2006-12-21 14:24:00}, priority = {2}, title = {Finite extinction time for the solutions to the Ricci flow on certain three-manifolds}, url = {http://arxiv.org/abs/math/0307245}, year = {2003} }

TY - ELEC ID - citeulike:1005917 L3 - citeulike-article-id:1005917 N2 - Let M be a closed oriented three-manifold, whose prime decomposition contains no aspherical factors. We show that for any initial riemannian metric on M the solution to the Ricci flow with surgery, defined in our previous paper <a href="/abs/math.DG/0303109">math.DG/0303109</a>, becomes extinct in finite time. The proof uses a version of the minimal disk argument from 1999 paper by Richard Hamilton, and a regularization of the curve shortening flow, worked out by Altschuler and Grayson. TI - Finite extinction time for the solutions to the Ricci flow on certain three-manifolds KW - 3-manifold AU - Perelman, Grisha PY - 2003/Jul/17/ UR - http://arxiv.org/abs/math/0307245 ER -