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

Itoh, Jin-ichi1 ; Vîlcu, Costin2
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, Tome 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
Itoh, Jin-ichi 1 ; Vîlcu, Costin 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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Itoh, Jin-ichi; Vîlcu, Costin. On the length of simple closed quasigeodesics on convex surfaces. Comptes Rendus. Mathématique, Tome 343 (2006) no. 4, pp. 259-264. doi : 10.1016/j.crma.2006.06.020. http://www.numdam.org/articles/10.1016/j.crma.2006.06.020/

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