Can a curve of finite length and constant energy be dense in a Riemannian manifold? – math.stackexchange.com

I am considering a connected Riemannian manifold $M$ of dimension $n \geq 2$. Let $\gamma: [a, b) \to M$ (with -\infty < a < b < \infty) be a $C^\infty$ curve that is inextendible to the ...