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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

Almaraz, Sergio

关键词: Yamabe flow;    Manifold with boundary;    Conformal metric;    Scalar curvature;    Mean curvature;   

DOI  :  10.1016/j.jde.2015.04.011

来源: Elsevier

【 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.

【 授权许可】

Free