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Convergence of scalar-flat metrics on manifolds with boundary under the Yamabe flow
Convergence of scalar-flat metrics manifolds boundary under the Yamabe flow Differential Geometry
2012/6/21
This paper is concerned with a Yamabe-type flow for compact Riemannian manifolds with boundary. The convergence of this flow is established if the manifold with boundary satisfies either a generic con...
Abstract: This article studies local existence and uniqueness of Yamabe flow within a class of compact Riemannian manifolds with incomplete edge singularities. Our main analytic step is to establish p...
The Infinity of Complete Riemannian Manifolds under Yamabe Flow
Yamabe flow locally conformally flat asymptotic volume ratio
2018/4/19
We study complete locally conformally flat Riemannian manifolds Mn.We prove that the flatness of the infinity geometry can be preserved under the Yamabe flow. As an immediate application, the asymptot...