[Deux généralisations du théorème de scindage de Cheeger-Gomoll via la courbure de Ricci de Bakry-Émery]
Dans cet article, nous obtenons deux généralisations du théorème de scindage de Cheeger-Gromoll sur les variétés riemanniennes complètes à courbure de Ricci non-négative au sens de Bakry-Émery.
In this paper, we prove two generalized versions of the Cheeger-Gromoll splitting theorem via the non-negativity of the Bakry-Émery Ricci curavture on complete Riemannian manifolds.
Keywords: Busemann function, splitting theorem, Bakry-Émery Ricci curvature
Mot clés : fonction de Busemann, théorème de scindage, courbure de Ricci de Bakry-Émery
Fang, Fuquan 1 ; Li, Xiang-Dong 2 ; Zhang, Zhenlei 1
@article{AIF_2009__59_2_563_0,
author = {Fang, Fuquan and Li, Xiang-Dong and Zhang, Zhenlei},
title = {Two generalizations of {Cheeger-Gromoll} splitting theorem via {Bakry-Emery} {Ricci} curvature},
journal = {Annales de l'Institut Fourier},
pages = {563--573},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {59},
number = {2},
year = {2009},
doi = {10.5802/aif.2440},
mrnumber = {2521428},
zbl = {1166.53023},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2440/}
}
TY - JOUR AU - Fang, Fuquan AU - Li, Xiang-Dong AU - Zhang, Zhenlei TI - Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature JO - Annales de l'Institut Fourier PY - 2009 SP - 563 EP - 573 VL - 59 IS - 2 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2440/ DO - 10.5802/aif.2440 LA - en ID - AIF_2009__59_2_563_0 ER -
%0 Journal Article %A Fang, Fuquan %A Li, Xiang-Dong %A Zhang, Zhenlei %T Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature %J Annales de l'Institut Fourier %D 2009 %P 563-573 %V 59 %N 2 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2440/ %R 10.5802/aif.2440 %G en %F AIF_2009__59_2_563_0
Fang, Fuquan; Li, Xiang-Dong; Zhang, Zhenlei. Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature. Annales de l'Institut Fourier, Tome 59 (2009) no. 2, pp. 563-573. doi : 10.5802/aif.2440. https://aif.centre-mersenne.org/articles/10.5802/aif.2440/
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