Ricci flow with surgery on three-manifolds
Ricci flow with surgery on three-manifolds
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发表时间：
2003-03
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通讯作者：
G. Perelman
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作者：
G. Perelman
这是一篇技术论文，是math.DG/0211159的延续。在这里，我们用手术构建了Ricci流，并验证了电子打印的第13节中提出的大多数断言：例外情况有：(1)在截面曲率上可以局部下界坍缩的流形是图流形——这被推迟到另一篇论文中，因为这个证明与里奇流无关；(2)关于下界的最大角的体积和解的光滑性的主张，从一段时间以来，这被证明是不合理的，另一方面，与其他结论无关。
This is a technical paper, which is a continuation of math.DG/0211159. Here we construct Ricci flow with surgeries and verify most of the assertions, made in section 13 of that e-print: the exceptions are (1) the statement that manifolds that can collapse with local lower bound on sectional curvature are graph manifolds - this is deferred to a separate paper, since the proof has nothing to do with the Ricci flow, and (2) the claim on the lower bound for the volume of maximal horns and the smoothness of solutions from some time on, which turned out to be unjustified and, on the other hand, irrelevant for the other conclusions.