Two rigidity theorems on manifolds with Bakry-Emery Ricci curvature
Ruan, Qi-hua
Proc. Japan Acad. Ser. A Math. Sci., Tome 85 (2009) no. 2, p. 71-74 / Harvested from Project Euclid
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In this paper, we generalize the Cheng's maximal diameter theorem and Bishop volume comparison theorem to the manifold with the Bakry-Emery Ricci curvature. As their applications, we obtain some rigidity theorems on the warped product.
Publié le : 2009-06-15
Classification:  Maximal diameter,  Bakry-Emery Ricci curvature,  volume comparison,  warped product,  53C21,  53C20 
@article{1244037800,
     author = {Ruan, Qi-hua},
     title = {Two rigidity theorems on manifolds with Bakry-Emery Ricci curvature},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {85},
     number = {2},
     year = {2009},
     pages = { 71-74},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1244037800}
}

Ruan, Qi-hua. Two rigidity theorems on manifolds with Bakry-Emery Ricci curvature. Proc. Japan Acad. Ser. A Math. Sci., Tome 85 (2009) no. 2, pp.  71-74. http://gdmltest.u-ga.fr/item/1244037800/