103 citations · 149 across the 4 of their papers we have counts for
4 papers
Rotational Surfaces in and Solutions in the Nonlinear Sigma Model
Manuel Barros, Magdalena Caballero, Miguel Ortega
The Gauss map of non-degenerate surfaces in the three-dimensional Minkowski space are viewed as dynamical fields of the two-dimensional O(2,1) Nonlinear Sigma Model. In this settin…
The Gauss-Landau-Hall problem on Riemannian surfaces
Manuel Barros, Jose L. Cabrerizo, Manuel Fernandez +1
We introduce the notion of Gauss-Landau-Hall magnetic field on a Riemannian surface. The corresponding Landau-Hall problem is shown to be equivalent to the dynamics of a massive bo…
Models of relativistic particle with curvature and torsion revisited
Josu Arroyo, Manuel Barros, Oscar J. Garay
Models, describing relativistic particles, where Lagrangian densities depend linearly on both the curvature and the torsion of the trajectories, are revisited in D=3 space forms. T…
A Geometric Algorithm to construct new solitons in the O(3) Nonlinear Sigma Model
Manuel Barros
The O(3) nonlinear sigma model with boundary, in dimension two, is considered. An algorithm to determine all its soliton solutions that preserve a rotational symmetry in the bounda…