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

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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References in corpus (1)

• Self similar expanding solutions of the planar network flow

Cited by in corpus (3)

• Uniqueness of asymptotically conical tangent flows
• Mean curvature flow with generic initial data
• Mass Drop and Multiplicity in Mean Curvature Flow