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Berger's equal-length conjecture for simply connected Besse manifolds
A Besse manifold is a Riemannian manifold all of whose geodesics are closed, and a prime geodesic is a closed geodesic that is not a multiple iterate of a shorter closed geodesic.…
Conjectureopenbesse-manifolds closed-geodesics riemannian-geometryarXiv posted 2 days ago

Berger's equal-length conjecture for simply connected Besse manifolds