On complete gradient shrinking Ricci solitons
Cao, Huai-Dong ; Zhou, Detang
J. Differential Geom., Tome 84 (2010) no. 1, p. 175-186 / Harvested from Project Euclid
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In this paper we derive optimal growth estimates on the potential functions of complete noncompact shrinking solitons. Based on this, we prove that a complete noncompact gradient shrinking Ricci soliton has at most Euclidean volume growth. This latter result can be viewed as an analog of the well-known volume comparison theorem of Bishop that a complete noncompact Riemannian manifold with nonnegative Ricci curvature has at most Euclidean volume growth.
Publié le : 2010-06-15
Classification:  
@article{1287580963,
     author = {Cao, Huai-Dong and Zhou, Detang},
     title = {On complete gradient shrinking Ricci solitons},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 175-186},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1287580963}
}

Cao, Huai-Dong; Zhou, Detang. On complete gradient shrinking Ricci solitons. J. Differential Geom., Tome 84 (2010) no. 1, pp.  175-186. http://gdmltest.u-ga.fr/item/1287580963/