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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11 papers · 2 filters
Minimal surfaces in minimally convex domains
Antonio Alarcon, Barbara Drinovec Drnovsek, Franc Forstneric +1
In this paper, we prove that every conformal minimal immersion of a compact bordered Riemann surface into a minimally convex domain can be approximated,…
A note on the causal homotopy classes of a globally hyperbolic spacetime
Pablo Morales Álvarez, Miguel Sánchez
Globally hyperbolic spacetimes admitting infinitely many causal (and timelike) homotopy classes of curves joining two prescribed points, are exhibited and discussed.
A Hopf theorem for non-constant mean curvature and a conjecture of A.D. Alexandrov
Jose A. Galvez, Pablo Mira
We prove a uniqueness theorem for immersed spheres of prescribed (non-constant) mean curvature in homogeneous three-manifolds. In particular, this uniqueness theorem proves a conje…
A connection between flat fronts in hyperbolic space and minimal surfaces in euclidean space
Antonio Martínez, Pedro Roitman, Keti Tenenblat
A geometric construction is provided that associates to a given flat front in a pair of minimal surfaces in which are related by a Ribaucour transform…
Every bordered Riemann surface is a complete conformal minimal surface bounded by Jordan curves
Antonio Alarcon, Barbara Drinovec Drnovsek, Franc Forstneric +1
In this paper we find approximate solutions of certain Riemann-Hilbert boundary value problems for minimal surfaces in and null holomorphic curves in …
A holographic principle for the existence of parallel spinor fields and an inequality of Shi-Tam type
Oussama Hijazi, Sebastián Montiel
Suppose that is the -dimensional boundary of a connected compact Riemannian spin manifold with non-negative scalar curvature, and that…
A holographic principle for the existence of imaginary Killing spinors
Oussama Hijazi, Simon Raulot, Sebastian Montiel
Suppose that is the -dimensional boundary, with positive (inward) mean curvature , of a connected compact -dimensional Riemannian spin manifold $(Ω^{n+1}…
Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant
Oussama Hijazi, Simon Raulot, Sebastian Montiel
We prove that, among all (n + 1)-dimensional spin static vacua with positive cosmological constant, the de Sitter spacetime is characterized by the fact that its spatial Killing ho…
On a Liu--Yau type inequality for surfaces
Oussama Hijazi, Simon Raulot, Sebastian Montiel
Let be a compact and mean-convex domain with smooth boundary , in an initial data set , which has no apparent horizon in its interior. If is spacel…
Regularity of surfaces with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds
Matteo Galli, Manuel Ritoré
In this paper we consider surfaces of class with continuous prescribed mean curvature in a three-dimensional contact sub-Riemannian manifold and prove that their characterist…
Existence, characterization and stability of Pansu spheres in sub-Riemannian -space forms
Ana Hurtado, César Rosales
Let be a complete Sasakian sub-Riemannian -manifold of constant Webster scalar curvature . For any point and any number with , we show…