Models of relativistic particle with curvature and torsion revisited

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. The moduli spaces of trajectories are completely and explicitly determined using the Lancret program. The moduli subspaces of closed solitons in the three sphere are also determined.Comment: 13 page

Binormal Motion of Curves with Constant Torsion in 3-Spaces

We study curve motion by the binormal flow with curvature and torsion depending velocity and sweeping out immersed surfaces. Using the Gauss-Codazzi equations, we obtain filaments evolving with constant torsion which arise from extremal curves of curvature energy functionals. They are "soliton" solutions in the sense that they evolve without changing shape.This research was supported by MINECO-FEDER Grant MTM2014-54804-P, Gobierno Vasco Grant IT1094-16, and UPV/EHU GIU13/08, Spain. Alvaro Pampano has been supported by Programa Predoctoral de Formacion de Personal Investigador No Doctor, Gobierno Vasco, 2015

Binormal Motion of Curves with Constant Torsion in 3-Spaces

We study curve motion by the binormal flow with curvature and torsion depending velocity and sweeping out immersed surfaces. Using the Gauss-Codazzi equations, we obtain filaments evolving with constant torsion which arise from extremal curves of curvature energy functionals. They are “soliton” solutions in the sense that they evolve without changing shape

Laccopetalum giganteum (Ranunculaceae) una especie end\ue9mica En Peligro del Norte de Per\ufa que necesita planes de conservaci\uf3n urgente

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