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20182025
most citedCurvature-free linear length bounds on geodesics in closed Riemannian surfaces

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math.DG2025

Riemannian 3-spheres that are hard to sweep out by short curves

Omar Alshawa, Herng Yi Cheng

We construct a family of Riemannian 3-spheres that cannot be "swept out" by short closed curves. More precisely, for each we construct a Riemannian 3-sphere with diamet…