PLANE AND SPACE CURVES SATISFYING SERRET-FRENET FORMULAS AND A DIFFERENTIAL EQUATION
We obtain plane and space curves whose natural representation satisfies Serret-Frenet equations, as well as another differential equation to allow their solution. Different kinds of added differential equation are considered. The conditions on curvature and torsion related to the added equation are determined and large classes of curves are characterized.
solutions of Serret-Frenet equations.
