A local optimal diastolic inequality on ...
Document type :
Article dans une revue scientifique: Article original
Permalink :
Title :
A local optimal diastolic inequality on the two-sphere
Author(s) :
Journal title :
Journal of Topology and Analysis
Pages :
109-121
Publisher :
World Scientific
Publication date :
2010
ISSN :
1793-5253
English keyword(s) :
Conical singularity
diastole
sphere
systole
diastole
sphere
systole
HAL domain(s) :
Mathématiques [math]/Géométrie différentielle [math.DG]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
Source :
Submission date :
2025-01-24T16:16:20Z
Files
- document
- Open access
- Access the document
- Singular.pdf
- Open access
- Access the document
- 0811.0330
- Open access
- Access the document