2 papers
math.DG2016
A topological lower bound for the energy of a unit vector field on a closed hypersurface of the euclidean space. The 3-dimensional case
Fabiano G. B. Brito, Andre O. Gomes, Adriana V. Nicoli
In this short note we prove that the degree of the Gauss map ν of a closed 3-dimensional hypersurface of the Euclidean space is a lower bound for the total bending functional B, in…
math.DG2014
A theorem about vector fields with the "proportional volume property"
Fabiano Brito, André Gomes, Robson Mesquita
In this paper, we define a certain "proportional volume property" for an unit vector field on a spherical domain in S3. We prove that the volume of these vector fields has an absol…