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@TomL@mathstodon.xyz

Post #2712443

2026-04-14 03:07 UTC

@divbyzero@mathstodon.xyz "Every Riemannian manifold that is topologically a sphere has infinitely many closed geodesics" If I think of the C(0) version where you have geodesics over a cube for example, then you probably get a general closed curve whenever the initial gradient is rational. For a cuboid you'd scale the set of gradients accordingly. So that seems to fit with the more general case. The word ergodic probably features in there somewhere too.

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