On the length of simple closed quasigeodesics on convex surfaces

Jin-ichi Itoh; Costin Vîlcu

doi:10.1016/j.crma.2006.06.020

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 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

Comptes Rendus. Mathématique, Volume 343 (2006) no. 4, pp. 259-264.

Résumé
Abstract

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 : 2006-02-17
Accepté le : 2006-06-01
Publié le : 2006-07-13

DOI : 10.1016/j.crma.2006.06.020

Affiliations des auteurs :

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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     title = {On the length of simple closed quasigeodesics on convex surfaces},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {259--264},
     publisher = {Elsevier},
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     number = {4},
     year = {2006},
     doi = {10.1016/j.crma.2006.06.020},
     language = {en},
}

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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/

Bibliographie
Cité par

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