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5
votes
Closed geodesics on bumpy spheres
I can only comment on the first side question. From an outsider's perspective, the (twentieth-century) literature on simple closed geodesics is, quoting Jost, 'unusually rich in errors and controversi …
2
votes
Accepted
On properties of Besse spheres
It so happens I recently read this same passage in Besse's book. I am no expert, but here is how I understand it.
Question 1. Let $p,q \in \mathbf{S}^2$ be two arbitrary points, and $\eta: [0,L] \to \ …