12 citations · 31 across the 12 of their papers we have counts for
13 papers
Constant mean curvature Isometric Immersions into and and related results
Benoît Daniel, Iury Domingos, Feliciano Vitório
In this article, we study constant mean curvature isometric immersions into and and we classify these isometric im…
On the area of minimal surfaces in a slab
Jaigyoung Choe, Benoit Daniel
Consider a non-planar orientable minimal surface S in a slab which is possibly with genus or with more than two boundary components. We show that there exists a catenoidal waist W…
Minimal isometric immersions into S^2 x R and H^2 x R
Benoit Daniel
For a given simply connected Riemannian surface Sigma, we relate the problem of finding minimal isometric immersions of Sigma into S^2 x R or H^2 x R to a system of two partial dif…
The Gauss map of surfaces in ~PSL_2(R)
Benoit Daniel, Isabel Fernandez, Pablo Mira
We define a Gauss map for surfaces in the universal cover of the Lie group PSL_2(R) endowed with a left-invariant Riemannian metric having a 4-dimensional isometry group. This Gaus…
Half-space theorems and the embedded Calabi-Yau problem in Lie groups
Benoit Daniel, William H. Meeks, Harold Rosenberg
We study the embedded Calabi-Yau problem for complete embedded constant mean curvature surfaces of finite topology or of positive injectivity radius in a simply-connected three-dim…
Half-space theorems for minimal surfaces in Nil_3 and Sol_3
Benoit Daniel, William H. Meeks, Harold Rosenberg
We prove some half-space theorems for minimal surfaces in the Heisenberg group Nil_3 and the Lie group Sol_3 endowed with their left-invariant Riemannian metrics. If S is a properl…