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10 papers · 2 filters
Periodic Geodesics and Geometry of Compact Lorentzian Manifolds with a Killing Vector Field
Jose Luis Flores, Miguel Angel Javaloyes, Paolo Piccione
We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing vector field which is timelike somewhere. Using a compactness argument for subg…
Causal boundaries and holography on wave type spacetimes
Miguel Sánchez
The notion of a causal boundary for a spacetime has been a controversial topic during the last three decades. Moreover, recently the role of the boundary in the AdS/CFT corresponde…
The classification of complete stable area-stationary surfaces in the Heisenberg group
Ana Hurtado, Manuel Ritoré, César Rosales
We prove that any complete, orientable, connected, stable area-stationary surface in the sub-Riemannian Heisenberg group is either a Euclidean plane or congrue…
Stationary rotating surfaces in Euclidean space
Rafael López
A stationary rotating surface is a compact surface in Euclidean space whose mean curvature at each point satisfies , where is the distance from to a…
A comparison result for radial solutions of the mean curvature equation
Rafael López
We establish two comparison results between the solutions of a class of mean curvature equations and pieces of arcs of circles that satisfy the same Neumann boundary condition. Fin…
Complete minimal surfaces in R3 with a prescribed coordinate function
Antonio Alarcon, Isabel Fernandez
In this paper we construct complete simply connected minimal surfaces with a prescribed coordinate function. Moreover, we prove that these surfaces are dense in the space of all mi…