The zoo of solitons for curve shortening in $\mathbb{R}^n$
The zoo of solitons for curve shortening in $\mathbb{R}^n$
We provide a detailed description of solutions of Curve Shortening in $\R^n$ that are invariant under some one-parameter symmetry group of the equation, paying particular attention to geometric properties of the curves, and the asymptotic properties of their ends. We find generalized helices, and a connection with curve shortening on …