Existence of monotone Morse flow lines of the expander functional

20260 citationsJournal Article

Authors

Jacob Bernstein · Johns Hopkins University

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.

Topics & Keywords

Mathematical Dynamics and Fractals Holomorphic and Operator Theory Geometry and complex manifolds

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Transactions of the American Mathematical Society

DOI: 10.1090/tran/9610

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