Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow
classification
🧮 math.DG
math.AP
keywords
boundaryconvergencedimensionsflowmanifoldsscalar-flatcompactcondition
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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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