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arxiv: 1210.0629 · v1 · pith:LYCIZVIZnew · submitted 2012-10-02 · 🧮 math.DG

Mean curvature flow of Killing graphs

classification 🧮 math.DG
keywords graphscurvatureflowkillingmeanalongboundarybounded
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We study a Neumann problem related to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. We prove that in a particular case these graphs converge to a bounded minimal graph which contacts the cylinder over the domain orthogonally along its boundary.

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