Self-expanders to the mean curvature flow based on the generalized Lawson-Osserman cone

2022/11/10 by Chen-Kuan Lee, Lee, Chen-Kuan
Mathematics · #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2211.05625

Abstract

We derive the equation of self-similar solutions to mean curvature flow based on the generalized Lawson-Osserman cone and prove the existence of self-expanders by modifying the theory of equilibria in the autonomous system. In particular, those self-expanders are unique if a local assumption is given.

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