62 citations · 62 across the 4 of their papers we have counts for
7 papers
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…
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…
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…
A topological lower bound for the energy of a unit vector field on a closed Euclidean hypersurface
Fabiano G. B. Brito, Icaro Gonçalves, Adriana V. Nicoli
For a unit vector field on a closed immersed Euclidean hypersurface , , we exhibit a nontrivial lower bound for its energy which depends on the degree of the Gau…
Topological invariants for closed hypersurfaces
Ícaro Gonçalves, Eduardo Longa
We consider closed and orientable immersed hypersurfaces of translational manifolds. Given a vector field on such a hypersurface, we define a perturbation of its Gauss map, which a…
Degree of the Gauss map and curvature integrals for closed hypersurfaces
Fabiano G. B. Brito, Icaro Gonçalves
Given a unit vector field on a closed Euclidean hypersurface, we define a map from the hypersurface to a sphere in the Euclidean space. This application allows us to exhibit a list…
Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
Rafal Ablamowicz, Icaro Gonçalves, Roldao da Rocha
Classification of quantum spinor fields according to quantum bilinear covariants is introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the bilinear c…