GENERALIZED RICCI FLOW I: HIGHER-DERIVATIVE ESTIMATES FOR COMPACT MANIFOLDS

被引：14

作者：

Li, Yi ^{[1
]}

机构：

[1] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

来源：

ANALYSIS & PDE | 2012年 / 5卷 / 04期

关键词：

Ricci flow; Generalized Ricci flow; BBS derivative estimates; compactness theorems; energy functionals;

D O I：

10.2140/apde.2012.5.747

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a generalized Ricci flow with a given (not necessarily closed) three-form and establish higher-derivative estimates for compact manifolds. As an application, we prove the compactness theorem for this generalized Ricci flow. Similar results still hold for a more generalized Ricci flow.

引用

页码：747 / 775

页数：29

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