Measurements of Riemannian two-disks and two-spheres
Balacheff, Florent Nicolas (Université de Lille. Laboratoire Paul Painlevé)

Data:	2015
Resum:	We prove that any Riemannian two-sphere having area at most 1 can be continuously mapped onto a tree in such a way that the topology of the 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.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Bers constant ; Closed geodesic ; Curvature-free inequalities ; Isoperimetric inequalities ; Width
Publicat a:	Pacific Journal of Mathematics, Vol. 275, Num. 1 (April 2015) , p. 167-181, ISSN 1945-5844

DOI: 10.2140/pjm.2015.275.167

Postprint 16 p, 496.2 KB

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