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Convergence of the Yamabe flow on manifolds with minimal boundary. (arXiv:1604.06789v2 [math.DG] UPDATED)

We study the Yamabe flow on compact Riemannian manifolds of dimensions greater than two with minimal boundary. Convergence to a metric with constant scalar curvature and minimal boundary is established in dimensions up to seven, and in any dimensions if the manifold is spin.查看全文

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