Comptes Rendus
no. 2
Geometry
The ε-positive center set and its applications
[L'ensemble des centres ε-positifs et ses applications]

Présenté par : Étienne Ghys

Shengliang Pan1 ; Yunlong Yang1 ; Pingliang Huang2
1 Mathematics Department, Tongji University, Shanghai, 200092, PR China
2 Mathematics Department, Shanghai University, Shanghai, 200444, PR China
Comptes Rendus. Mathématique, Volume 354 (2016) no. 2, pp. 195-200.

Dans cette Note, nous apportons une réponse positive à la conjecture de Kaiser sur les centres ε-positifs des courbes convexes, puis nous en présentons deux applications.

In this paper we will first give a positive answer to Kaiser's conjecture on ε-positive centers for convex curves and then present its two applications.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.10.021
Mots clés : Constant width curve, ε-Positive center set, Inner parallel body, Kaiser's conjecture, Positive center set
Shengliang Pan 1 ; Yunlong Yang 1 ; Pingliang Huang 2

1 Mathematics Department, Tongji University, Shanghai, 200092, PR China
2 Mathematics Department, Shanghai University, Shanghai, 200444, PR China 
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Shengliang Pan; Yunlong Yang; Pingliang Huang. The ε-positive center set and its applications. Comptes Rendus. Mathématique, Volume 354 (2016) no. 2, pp. 195-200. doi : 10.1016/j.crma.2015.10.021. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.10.021/

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☆ This work is supported by the National Science Foundation of China (No. 11171254) and a grant of “The First-class Discipline of Universities in Shanghai”.

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