2019/09/09 by Marcos M. Alexandrino, Leonardo F. Cavenaghi, Alexandrino, Marcos M. +3
Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1909.04201
openalex publication_date 2019/09/09 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
In this paper we investigate the mean curvature flow (MCF) of a regular leaf\nof a closed generalized isoparametric foliation as initial datum, generalizing\nprevious results of Radeschi and first author. We show that, under bounded\ncurvature conditions, any finite time singularity is a singular leaf, and the\nsingularity is of type I. We also discuss the existence of basin of\nattractions, how cylinder structures can affect convergence of basic MCF of\nimmersed submanifolds and make a few remarks on MCF of non closed leaves of\ngeneralized isoparametric foliation.\n