Título: On Mean curvature flow of Singular Riemannian foliations: Non compact cases

Palestrante: Marcos Alexandrino (USP)
Data: 13/07/2021
Horário: 14:00h
Local: Transmissão online

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Resumo: In this talk 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.We will introduce all the concepts targeting a wide audience in geometry. This talk is based on a joint work with Leonardo F. Cavenaghi, Icaro Gonçalves.