Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
[Deux généralisations du théorème de scindage de Cheeger-Gomoll via la courbure de Ricci de Bakry-Émery]
Fang, Fuquan ; Li, Xiang-Dong ; Zhang, Zhenlei
Annales de l'Institut Fourier, Tome 59 (2009), p. 563-573 / Harvested from Numdam
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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.

Publié le : 2009-01-01
DOI : https://doi.org/10.5802/aif.2440
Classification:  53C20,  53C25
Mots clés: fonction de Busemann, théorème de scindage, courbure de Ricci de Bakry-Émery 
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     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},
     volume = {59},
     year = {2009},
     pages = {563-573},
     doi = {10.5802/aif.2440},
     zbl = {1166.53023},
     mrnumber = {2521428},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2009__59_2_563_0}
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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) pp. 563-573. doi : 10.5802/aif.2440. http://gdmltest.u-ga.fr/item/AIF_2009__59_2_563_0/

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