Post #2712442
2026-03-29 20:37 UTC
This isn't my area of expertise, but Franks was my PhD advisor, and he proved this result not long before I entered grad school. I thought it was really cool.
Here are links to the Franks and Bangert articles:
https://link.springer.com/article/10.1007/BF02100612
https://www.worldscientific.com/doi/10.1142/S0129167X93000029
Replies (1)
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@TomL@mathstodon.xyz 2026-04-14 03:07
@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.