1 citations · 1 across the 8 of their papers we have counts for
8 papers
Zoll manifolds with boundary
Eduardo Longa, Paolo Piccione, Roney Santos
We introduce and study Zoll manifolds with boundary: compact Riemannian manifolds with smooth boundary such that every geodesic issuing orthogonally from the boundary returns ortho…
On the stability of free boundary minimal submanifolds in conformal domains
Alcides de Carvalho, Roney Santos, Federico Trinca
Given a -dimensional Riemannian manifold with non-negative sectional curvatures and convex boundary, that is conformal to an Euclidean convex bounded domain, we show that it doe…
Ruled Ricci surfaces and curves of constant torsion
Alcides de Carvalho, Iury Domingos, Roney Santos
We show that all non-developable ruled surfaces endowed with Ricci metrics in the three-dimensional Euclidean space may be constructed using curves of constant torsion and its bino…
The width of embedded circles
Lucas Ambrozio, Rafael Montezuma, Roney Santos
We develop a Morse-Lusternik-Schnirelmann theory for the distance between two points of a smoothly embedded circle in a complete Riemannian manifold. This theory suggests very natu…
Rotational Ricci surfaces
Iury Domingos, Roney Santos, Feliciano Vitório
We classify rotational surfaces in the three-dimensional Euclidean space whose Gaussian curvature satisfies \begin{equation*} KΔK - \|\nabla K\|^2-4K^3 = 0. \end{equation*} The…
A -homothetic uniqueness of the critical catenoid
Iury Domingos, Roney Santos, Feliciano Vitório
We prove a uniqueness result for free boundary minimal annuli in the unit Euclidean three-ball that are -homothetic to the critical catenoid.
Some Properties of the Intersection of Free Boundary Minimal Hypersurfaces in Euclidean Balls
Ezequiel Barbosa, Alcides de Carvalho, Roney Santos
In this work, we prove that any two free boundary minimal hypersurfaces in the unit Euclidean ball have an intersection point in any half-ball. This is a strong version of the Fran…
A Note on Free Boundary Hypersurfaces in Space Forms Balls
Iury Domingos, Roney Santos, Feliciano Vitório
In this article, we establish a relationship between geometric quantities of a hypersurface restricted to its boundary, and the geometric quantities of its boundary as a hypersurfa…