[L'ensemble des centres ε-positifs et ses applications]
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.
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@article{CRMATH_2016__354_2_195_0,
author = {Pan, Shengliang and Yang, Yunlong and Huang, Pingliang},
title = {The \protect\emph{\ensuremath{\varepsilon}}-positive center set and its applications},
journal = {Comptes Rendus. Math\'ematique},
pages = {195--200},
publisher = {Elsevier},
volume = {354},
number = {2},
year = {2016},
doi = {10.1016/j.crma.2015.10.021},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2015.10.021/}
}
TY - JOUR AU - Pan, Shengliang AU - Yang, Yunlong AU - Huang, Pingliang TI - The ε-positive center set and its applications JO - Comptes Rendus. Mathématique PY - 2016 SP - 195 EP - 200 VL - 354 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2015.10.021/ DO - 10.1016/j.crma.2015.10.021 LA - en ID - CRMATH_2016__354_2_195_0 ER -
%0 Journal Article %A Pan, Shengliang %A Yang, Yunlong %A Huang, Pingliang %T The ε-positive center set and its applications %J Comptes Rendus. Mathématique %D 2016 %P 195-200 %V 354 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2015.10.021/ %R 10.1016/j.crma.2015.10.021 %G en %F CRMATH_2016__354_2_195_0
Pan, Shengliang; Yang, Yunlong; Huang, Pingliang. The ε-positive center set and its applications. Comptes Rendus. Mathématique, Tome 354 (2016) no. 2, pp. 195-200. doi : 10.1016/j.crma.2015.10.021. http://www.numdam.org/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”.
