The space of asymptotically conical self-expanders of mean curvature flow

21 Jul 2018  ·  Bernstein Jacob, Wang Lu ·

We show that the space of asymptotically conical self-expanders of the mean curvature flow is a smooth Banach manifold. An immediate consequence is that non-degenerate self-expanders -- that is, those self-expanders that admit no non-trivial normal Jacobi fields that fix the asymptotic cone -- are generic in a certain sense...

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Differential Geometry Analysis of PDEs