4 citations · 10 across the 10 of their papers we have counts for
10 papers
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…
A conformal characterization of manifolds of constant sectional curvature
Xiaoyang Chen, Francisco Fontenele, Frederico Xavier
A special case of the main result states that a complete -connected Riemannian manifold is isometric to one of the models , , of…
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…
A characterization of round spheres in space forms
Francisco Fontenele, Roberto Alonso Núñez
Let be the complete simply-connected -dimensional space form of curvature . In this paper we obtain a new characterization of geodesic spheres in $\ma…
On the complexity of isometric immersions of hyperbolic spaces in any codimension
Francisco Fontenele, Frederico Xavier
Although the Nash theorem solves the isometric embedding problem, matters are inherently more involved if one is further seeking an embedding that is well-behaved from the standpoi…
The index of isolated umbilics on surfaces of non-positive curvature
F. Fontenele, F. Xavier
It is shown that if a surface has negative curvature on the complement of a point , then the -valued Poincaré-Hopf index at of…