dc.contributor.author
Balacheff, Florent Nicolas
dc.contributor.author
Croke, Christopher
dc.contributor.author
Katz, Mikhail G.
dc.identifier
https://ddd.uab.cat/record/287723
dc.identifier
urn:10.1007/s00039-009-0708-9
dc.identifier
urn:oai:ddd.uab.cat:287723
dc.identifier
urn:pure_id:153316310
dc.identifier
urn:scopus_id:59649109269
dc.identifier
urn:oai:egreta.uab.cat:publications/d0859d7b-d083-4be5-81e7-042492d94cbf
dc.description.abstract
We construct a counterexample to a conjectured inequality L ≤ 2D, relating the diameter D and the least length L of a nontrivial closed geodesic, for a Riemannian metric on the 2-sphere. The construction relies on Guillemin's theorem concerning the existence of Zoll surfaces integrating an arbitrary infinitesimal odd deformation of the round metric. Thus the round metric is not optimal for the ratio L/D.
dc.format
application/pdf
dc.relation
Geometric and Functional Analysis ; Vol. 19, Issue 1 (May 2009), p. 1-10
dc.rights
Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.
dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Closed geodesic
dc.subject
Guillemin deformation
dc.title
A zoll counterexample to a geodesic length conjecture
