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In the first part of the paper we derive integral curvature estimates for complete gradient shrinking Ricci solitons.
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H.-D. Cao and D. Zhou On complete gradient shrinking Ricci solitons ; J. Differential Geom. 85 (2010), no. 2, 175-186.
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P. Petersen and W. Wylie, On the classification of gradient Ricci solitons , Geom. Topol. 14 (2010), no. 4, 2277-2300
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