Closed $p$-Elastic Curves in Spheres of ${\mathbb{L}}^3$

Alvaro Pampano, Miraj Samarakkody, Hung Tran

For every $p\in \mathbb{R}$, we study $p$-elastic curves in the hyperbolic plane ${\mathbb{H}}^2$ and in the de Sitter $2$-space ${\mathbb{H}}_1^2$. We analyze the existence of closed $…