Comptes Rendus
no. 4
Geometry
On the length of simple closed quasigeodesics on convex surfaces
[Sur la longueur des quasigéodésiques simples fermées sur des surfaces convexes]

Présenté par : Marcel Berger

Jin-ichi Itoh1 ; Costin Vîlcu2
1 Faculty of Education, Kumamoto University, Kumamoto 860-8555, Japan
2 Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, Bucharest 014700, Romania
Comptes Rendus. Mathématique, Volume 343 (2006) no. 4, pp. 259-264.

On etablit, pour des surfaces convexes arbitraires, des inégalités impliquant le diamètre, l'aire et les longueurs des (quasi)géodésiques simples fermées.

We establish, for general convex surfaces, inequalities involving the diameter, the area and the lengths of simple closed (quasi)geodesics.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.06.020
Jin-ichi Itoh 1 ; Costin Vîlcu 2

1 Faculty of Education, Kumamoto University, Kumamoto 860-8555, Japan
2 Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, Bucharest 014700, Romania 
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Jin-ichi Itoh; Costin Vîlcu. On the length of simple closed quasigeodesics on convex surfaces. Comptes Rendus. Mathématique, Volume 343 (2006) no. 4, pp. 259-264. doi : 10.1016/j.crma.2006.06.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.06.020/

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[13] T. Sakai On levels of the distance function from the boundary of convex domains, Hokkaido Math. J., Volume XXI (1992), pp. 87-97

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