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.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