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arXiv · 1206.1184

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

Sergio Almaraz
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Abstract

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.

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Sergio Almaraz. 2012-06-06. Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow. https://doi.org/10.1016/j.jde.2015.04.011

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