A local optimal diastolic inequality on ...
Type de document :
Article dans une revue scientifique: Article original
URL permanente :
Titre :
A local optimal diastolic inequality on the two-sphere
Auteur(s) :
Titre de la revue :
Journal of Topology and Analysis
Pagination :
109-121
Éditeur :
World Scientific
Date de publication :
2010
ISSN :
1793-5253
Mot(s)-clé(s) en anglais :
Conical singularity
diastole
sphere
systole
diastole
sphere
systole
Discipline(s) HAL :
Mathématiques [math]/Géométrie différentielle [math.DG]
Résumé en anglais : [en]
Using a ramified cover of the two-sphere by the torus, we prove a local optimal inequality between the diastole and the area on the two-sphere near a singular metric. This singular metric, made of two equilateral triangles ...
Lire la suite >Using a ramified cover of the two-sphere by the torus, we prove a local optimal inequality between the diastole and the area on the two-sphere near a singular metric. This singular metric, made of two equilateral triangles glued along their boundary , has been conjectured by E. Calabi to achieve the best ratio area over the square of the length of a shortest closed geodesic. Our diastolic inequality asserts that this conjecture is to some extent locally true.Lire moins >
Lire la suite >Using a ramified cover of the two-sphere by the torus, we prove a local optimal inequality between the diastole and the area on the two-sphere near a singular metric. This singular metric, made of two equilateral triangles glued along their boundary , has been conjectured by E. Calabi to achieve the best ratio area over the square of the length of a shortest closed geodesic. Our diastolic inequality asserts that this conjecture is to some extent locally true.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
Source :
Date de dépôt :
2025-01-24T16:16:20Z
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