Mean curvature flow of Singular Riemannian Foliations

Marcos Alexandrino - Sao Paulo

Luns 8 de setembro de 2014 ás 16:00 horas na aula 8.


Given a singular Riemannian foliation on a compact Riemannian manifold, we study the mean curvature flow equation with a regular leaf as initial datum. We prove that if the leaves are compact and the mean curvature vector field is basic, then any finite time singularity is a singular leaf, and the singularity is of type I.

These results generalize previous results of Liu and Terng, Pacini and Koibe. In particular our results can be applied to partitions of Riemannian manifolds into orbits of actions of compact groups of isometries. This talk is based on a joint work with Dr. Marco Radeschi (wwu-Munster) and is aimed at a broad audience of students, faculties and researchers in Geometry.

© Marcos Alexandrino.