3 citations · 4 across the 8 of their papers we have counts for
8 papers
Polynomial Weingarten Tubular Surfaces in Euclidean, Hyperbolic and Lorentzian 3-spaces
Alexandre Paiva Barreto, Fernando Gasparotto
In this article we fully classify regular tubular surfaces in Euclidean, Lorentzian and hyperbolic 3-spaces whose Gaussian and mean curvatures and verify a polynomial relat…
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces
Alexandre Paiva Barreto, Francisco Fontenele, Luiz Hartmann
We prove that there are no regular algebraic hypersurfaces with non-zero constant mean curvature in the Euclidean space , , defined by polynomials of odd…
Curvature estimates for graphs in warped products
Alexandre Paiva Barreto, Fabiani A. Coswosck, Luiz Hartmann
We prove local and global upper estimates for the infimum of the mean curvature, the scalar curvature and the norm of the shape operator of graphs in a warped product space. Using…
Rotational Surfaces with second fundamental form of constant length
Alexandre P. Barreto, Francisco Fontenele, Luiz Hartmann
We obtain an infinite family of complete non embedded rotational surfaces in whose second fundamental forms have length equal to one at any point. Also we prove that…
Involutions on sapphire Sol 3-manifolds and the Borsuk-Ulam theorem for maps into
Alexandre Paiva Barreto, Daciberg Lima Gonçalves, Daniel Vendrúscolo
For each sapphire Sol -manifold, we classify the free involutions. For each triple where is a sapphire Sol -manifold and is a free involution, we show i…
Some remarks on the Pigola-Rigoli-Setti version of the Omori-Yau maximum principle
Francisco Fontenele, Alexandre Paiva Barreto
We prove that the hypotheses in the version of the Omori-Yau maximum principle that was given by Pigola-Rigoli-Setti are logically equivalent to the assumption that the manifold ca…
Deformation of Hyperbolic Cone-Structures: Study of the non-Colapsing case
Alexandre Paiva Barreto
This work is devoted to the study of deformations of hyperbolic cone structures under the assumption that the lengths of the singularity remain uniformly bounded over the deformati…
Deformations of Hyperbolic Cone-Structures: Study of the Collapsing case
Alexandre Paiva Barreto
This work is devoted to the study of deformations of hyperbolic cone structures under the assumption that the lengths of the singularity remain uniformly bounded over the deformati…