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Infinite number of closed geodesics on distorted sphere

Will Jagy answered my question: Bangert, Victor. "On the existence of closed geodesics on two-spheres." International Journal of Mathematics 4, no. 01 (1993): 1-10. doi. "...one obtains the existenc …
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Is there the longest geodesic?

This seems relevant to your question. An isosceles tetrahedron (all four faces congruent) contains arbitrarily long closed simple geodesics. This paper proves the reverse: having such geodesics implie …
Joseph O'Rourke's user avatar