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arXiv · 2404.08541

Existence of monotone Morse flow lines of the expander functional

Jacob Bernstein·Letian Chen·Lu Wang
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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.

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Jacob Bernstein, Letian Chen, Lu Wang. 2024-04-12. Existence of monotone Morse flow lines of the expander functional. https://arxiv.org/abs/2404.08541

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