Let $M$ be a Riemannian manifold and $p\ne q$ in $M$. Put $$ L=\{\ell(\gamma)~|~\gamma \mathrm{~is ~geodesic ~connecting ~}p\mathrm{~and~} q\}\subset (0,\infty). $$ If $L$ is non-empty, it is true that it cannot have limit points?
2026-03-26 08:00:34.1774512034
The set of lengths of geodesics connecting two fixed points on a Riemannian manifold
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