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arxiv: 1604.06789 · v2 · pith:PAE4GFUTnew · submitted 2016-04-22 · 🧮 math.DG

Convergence of the Yamabe flow on manifolds with minimal boundary

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keywords boundarydimensionsminimalconvergenceflowmanifoldsyamabecompact
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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.

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