Existence of monotone Morse flow lines of the expander functional
Differential Geometry
2024-04-15 v1 Analysis of PDEs
Abstract
Given a smooth asymptotically conical self-expander that is strictly unstable we construct a (singular) Morse flow line of the expander functional that connects it to a stable self-expander. This flow is monotone in a suitable sense and has small singular set.
Cite
@article{arxiv.2404.08541,
title = {Existence of monotone Morse flow lines of the expander functional},
author = {Jacob Bernstein and Letian Chen and Lu Wang},
journal= {arXiv preprint arXiv:2404.08541},
year = {2024}
}
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46 pages