10.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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9 papers · 2 filters
Complete minimal surfaces densely lying in arbitrary domains of
Antonio Alarcon, Ildefonso Castro-Infantes
In this paper we prove that, given an open Riemann surface and an integer , the set of complete conformal minimal immersions with $\overline{X(M)}=\m…
The geometry of stable minimal surfaces in metric Lie groups
William H. Meeks, Pablo Mira, Joaquin Perez
We study geometric properties of compact stable minimal surfaces with boundary in homogeneous 3-manifolds that can be expressed as a semidirect product of with $…
Strongly stable surfaces in sub-Riemannian -space forms
Ana Hurtado, César Rosales
A surface of constant mean curvature (CMC) equal to in a sub-Riemannian -manifold is strongly stable if it minimizes the functional up to sec…
The number of catenoids connecting two coaxial circles in Lorentz-Minkowski space
Shintaro Akamine, Rafael López
In 3-dimensional Lorentz-Minkowski space we determine the number of catenoids connecting two coaxial circles in parallel planes. This study is separated according to the types of c…
Translating solitons from semi-Riemannian foliations
Marie-Amelie Lawn, Miguel Ortega
We recall the notion of (vertical) translating solitons in a product of a semi-Riemannian manifold and the real line. Mainly, we restrict our attention to those which are t…
Uniqueness of complete maximal hypersurfaces in spatially open -dimensional Robertson-Walker spacetimes with flat fiber
José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio
In this paper, under natural geometric and physical assumptions we provide new uniqueness and non-existence results for complete maximal hypersurfaces in spatially open Robertson-W…
On maximal hypersurfaces in Lorentz manifolds admitting a parallel lightlike vector field
José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio
We study constant mean curvature spacelike hypersurfaces and in particular maximal hypersurfaces immersed in pp-wave spacetimes satisfying the timelike convergence condition. We pr…
Every meromorphic function is the Gauss map of a conformal minimal surface
Antonio Alarcon, Franc Forstneric, Francisco J. Lopez
Let be an open Riemann surface. We prove that every meromorphic function on is the complex Gauss map of a conformal minimal immersion which may furthermo…
New complex analytic methods in the study of non-orientable minimal surfaces in
Antonio Alarcon, Franc Forstneric, Francisco J. Lopez
The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in for any $…