Extension of a problem of Euler in ${\mathbb{H}}^2$ and in ${\mathbb{S}}^2$

Muhittin Evren Aydin, Antonio Bueno, Rafael López

In this paper, we extend the notion of stationary curves with respect to the moment of inertia from a point $N$ in the Euclidean plane ${\mathbb{R}}^2$ to the case that the ambient s…