Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow

被引：29

作者：

Almaraz, Sergio ^{[1
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat, BR-24020140 Niteroi, RJ, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 07期

关键词：

Yamabe flow; Manifold with boundary; Conformal metric; Scalar curvature; Mean curvature; CONSTANT MEAN-CURVATURE; EXISTENCE THEOREM; EQUATIONS; PROOF;

D O I：

10.1016/j.jde.2015.04.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a conformal flow for compact Riemannian manifolds of dimension greater than two with boundary. Convergence to a scalar-flat metric with constant mean curvature on the boundary is established in dimensions up to seven, and in any dimensions if the manifold is spin or if it satisfies a generic condition. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：2626 / 2694

页数：69

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