Measurements of Riemannian two-disks and two-spheres
Résumé
We prove that any Riemannian two-sphere with area at most 1 can be continuously mapped onto a tree in a such a way that the topology of fibers is controlled and their length is less than 7.6. This result improves previous estimates and relies on a similar statement for Riemannian two-disks.
Origine : Fichiers produits par l'(les) auteur(s)
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