4 papers · 1 filter
On Totally umbilical surfaces in the warped product
Ady Cambraia, Abigail Folha, Carlos Peñafiel
In this article we classify the totally umbilical surfaces which are immersed into a wide class of Riemannian manifolds having a structure of warped product, more precisely, we sho…
Height estimates for -surfaces in the warped product
Abigail Folha, Carlos Peñafiel, Walcy Santos
In this article, we consider compact surfaces having constant mean curvature (-surfaces) whose boundary is tr…
The Gauss map and second fundamental form of surfaces in a Lie group
Abigail Folha, Carlos Penafiel
In this article, we give the integrability conditions for the existence of an isometric immersion from an orientable simply connected surface having prescribed Gauss map and positi…
Free boundary minimal surfaces in the unit 3-ball
Abigail Folha, Frank Pacard, Tatiana Zolotareva
In a recent paper A. Fraser and R. Schoen have proved the existence of free boundary minimal surfaces in which have genus and boundary components, for all $ n…