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10 papers · 2 filters
Invariant surfaces in Sol with constant mean curvature and their computer graphics
Rafael López
In Sol space there are three uniparametric groups of isometries. In this work we study constant mean curvature surfaces invariant by one of these groups. We analyze the geometr…
Convex regions of stationary spacetimes and Randers spaces. Applications to lensing and asymptotic flatness
Erasmo Caponio, Anna Valeria Germinario, Miguel Sánchez
By using Stationary-to-Randers correspondence (SRC), a characterization of light and time-convexity of the boundary of a region of a standard stationary (n+1)-spacetime is obtained…
First and second variation formulae for the sub-Riemannian area in three-dimensional pseudo-hermitian manifolds
Matteo Galli
We calculate the first and the second variation formula for the sub-Riemannian area in three dimensional pseudo-hermitian manifolds. We consider general variations that can move th…
Minimal translation surfaces in the Heisenberg group Nil3
J. -I. Inoguchi, R. López, M. I. Munteanu
A translation surface in the Heisenberg group is a surface constructed by multiplying (using the group operation) two curves. We completely classify minimal transl…
Compact complete null curves in Complex 3-space
Antonio Alarcon, Francisco J. Lopez
We prove that for any open orientable surface of finite topology, there exist a Riemann surface a relatively compact domain and a continuou…
Rigidity of stable cylinders in three-manifolds
Jose M. Espinar
In this paper we show how the existence of a certain stable cylinder determines (locally) the ambient manifold where it is immersed. This cylinder has to verify a {\it bifurcation…