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]
Annales de l'Institut Fourier, Tome 59 (2009) no. 2, pp. 563-573.

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.

DOI : 10.5802/aif.2440
Classification : 53C20, 53C25
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

1 Capital Normal University Department of Mathematics Beijing (P.R.China)
2 Fudan University School of Mathematical Sciences No. 220, Han Dan Road Shanghai, 200433 (P.R.China) and Université Paul Sabatier Institut de Mathématiques 118 route de Narbonne 31062 Toulouse cedex 9 (France)
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     title = {Two generalizations of {Cheeger-Gromoll} splitting theorem via {Bakry-Emery} {Ricci} curvature},
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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) no. 2, pp. 563-573. doi : 10.5802/aif.2440. http://www.numdam.org/articles/10.5802/aif.2440/

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