Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature

Fuquan Fang[1]; Xiang-Dong Li[2]; Zhenlei Zhang[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)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 2, page 563-573
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Fang, Fuquan, Li, Xiang-Dong, and Zhang, Zhenlei. "Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature." Annales de l’institut Fourier 59.2 (2009): 563-573. <http://eudml.org/doc/10404>.

@article{Fang2009,
abstract = {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.},
affiliation = {Capital Normal University Department of Mathematics Beijing (P.R.China); 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); Capital Normal University Department of Mathematics Beijing (P.R.China)},
author = {Fang, Fuquan, Li, Xiang-Dong, Zhang, Zhenlei},
journal = {Annales de l’institut Fourier},
keywords = {Busemann function; splitting theorem; Bakry-Émery Ricci curvature},
language = {eng},
number = {2},
pages = {563-573},
publisher = {Association des Annales de l’institut Fourier},
title = {Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature},
url = {http://eudml.org/doc/10404},
volume = {59},
year = {2009},
}

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
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 2
SP - 563
EP - 573
AB - 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.
LA - eng
KW - Busemann function; splitting theorem; Bakry-Émery Ricci curvature
UR - http://eudml.org/doc/10404
ER -

References

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