Mean value inequalities and conditions to extend Ricci flow
Mean value inequalities and conditions to extend Ricci flow
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DOI：
10.4310/mrl.2015.v22.n2.a5
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发表时间：
2015-01-01
影响因子：
1
通讯作者：
Tran, Hung
中科院分区：
文献类型：
--
作者：
Cao, Xiaodong;Tran, Hung
本文讨论了闭流形上Ricci流解的第一有限奇性时间的条件。特别是，我们提供了N提出的均值不等式方法的系统方法。Le [13]和F.他[11]。我们还显示了这种方法和时间片分析之间的密切联系，如[23]。作为应用，我们证明了非负迷向曲率流形上Ricci流解的几个不等式。
This paper concerns conditions related to the first finite singularity time of a Ricci flow solution on a closed manifold. In particular, we provide a systematic approach to the mean value inequality method, suggested by N. Le [13] and F. He [11]. We also display a close connection between this method and time slice analysis as in [23]. As an application, we prove several inequalities for a Ricci flow solution on a manifold with nonnegative isotropic curvature.