4 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…
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.
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…
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…