3 papers
math.DG2024
Foliations transverse to a closed conformal vector field
Euripedes da Silva, Ícaro Gonçalves, Júlio Pereira
In this article, we study the geometric properties of codimension one foliations on Riemannian manifolds equipped with vector fields that are closed and conformal. Apart from its s…
math.DG2019
On Mean curvature flow of Singular Riemannian foliations: Non compact cases
Marcos 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 Rade…
math.DG2017
Poincaré index and the volume functional of unit vector fields on punctured spheres
Fabiano G. B. Brito, André O. Gomes, Icaro Gonçalves
For , we exhibit a lower bound for the volume of a unit vector field on depending on the absolute values of its Poincaré indices aro…