https://neckpinch.com/authors/icaro-goncalves/New arXiv papers by Icaro Gonçalves, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1909.04201/arxiv:1909.04201Tue, 10 Sep 2019 00:00:00 GMTMarcos M. Alexandrino, Leonardo F. Cavenaghi, Icaro Gonçalves — In this paper we investigate the mean curvature flow (MCF) of a regular leaf of a closed generalized isoparametric foliation as initial datum, generalizing previous results of Radeschi and first author. We show that, under bounded curvature conditions, any finite time singularity is a singular leaf, and the singularity is of type I. We also discuss the existence of basin of attractions, how cylinder structures can affect convergence of basic MCF of immersed submanifolds and make a few remarks on MCF of non closed leaves of generalized isoparametric foliation.Mean curvature flowSingularitiesBoundaries & non-compact