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

Jacob Bernstein; Lu Wang

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arXiv · 1712.04366

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

Jacob Bernstein·Lu Wang

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Abstract

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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Jacob Bernstein, Lu Wang. 2017-12-12. The space of asymptotically conical self-expanders of mean curvature flow. https://arxiv.org/abs/1712.04366

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