30 citations · 73 across the 14 of their papers we have counts for
14 papers
Minimal surfaces with positive genus and finite total curvature in
Francisco Martin, Rafe Mazzeo, M. Magdalena Rodriguez
We construct the first examples of complete, properly embedded minimal surfaces in with finite total curvature and positive genus. These are constr…
On complete constant mean curvature vertical multigraphs in E(κ,τ)
José M. Manzano, M. Magdalena Rodríguez
We prove that any complete surface with constant mean curvature in a homogeneous space E(κ,τ) which is transversal to the vertical Killing vector field is, in fact, a vertical grap…
Non-simply connected minimal planar domains in H^2 x R
Francisco Martín, M. Magdalena Rodríguez
We prove that any non-simply connected planar domain can be properly and minimally embedded in H^2 x R. The examples that we produce are vertical bi-graphs, and they are obtained f…
Minimal surfaces with limit ends in H^2 x R
M. Magdalena Rodríguez
For any m > 0, we construct properly embedded minimal surfaces in H^2 x R with genus zero, infinitely many vertical planar ends and m limit ends. We also provide examples with an i…
Classification of rotational special Weingarten surfaces of minimal type in S^2 x R and H^2 x R
Filippo Morabito, M. Magdalena Rodriguez
In this paper we finish the classification of rotational special Weingarten surfaces in S^2 x R and H^2 x R; i.e. rotational surfaces in S^2 x R and H^2 x R whose mean curvature h…
Saddle towers in H^2 x R
Filippo Morabito, M. Magdalena Rodriguez
Given k>=2, we construct a (2k-2)-parameter family of properly embedded minimal surfaces in H^2 x R invariant by a vertical translation T, called Saddle Towers, which have total in…