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

被引：27
|
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.
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页码：2626 / 2694
页数：69
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