The space of asymptotically conical self-expanders of mean curvature flow
Differential Geometry
2018-07-24 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1712.04366,
title = {The space of asymptotically conical self-expanders of mean curvature flow},
author = {Jacob Bernstein and Lu Wang},
journal= {arXiv preprint arXiv:1712.04366},
year = {2018}
}
Comments
40 pages, 0 figure, fix typos and update references