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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4 papers · 2 filters
On homogeneous plane waves
Malek Hanounah, Lilia Mehidi, Abdelghani Zeghib
Plane waves are a special class of Lorentzian spaces with a parallel null vector field. They are of great importance in Geometry (e.g. Lorentzian holonomy) and in Physics (General…
Complete CMC-1 surfaces in hyperbolic space with arbitrary complex structure
Antonio Alarcon, Ildefonso Castro-Infantes, Jorge Hidalgo
We prove that every open Riemann surface is the complex structure of a complete surface of constant mean curvature 1 (CMC-1) in the 3-dimensional hyperbolic space $\mathbb{H}^3…
Helicoidal minimal surfaces in the 3-sphere: An approach via spherical curves
Ildefonso Castro, Ildefonso Castro-Infantes, Jesús Castro-Infantes
We prove an existence and uniqueness theorem about spherical helicoidal (in particular, rotational) surfaces with prescribed mean or Gaussian curvature in terms of a continuous fun…
Parabolic quasi-contact cone structures with an infinitesimal symmetry
Omid Makhmali, Katja Sagerschnig
We interpret the property of having an infinitesimal symmetry as a variational property in certain geometric structures. This is achieved by establishing a one-to-one correspondenc…