Zhuhong ZHANG , Chih-Wei CHEN . ON SHRINKING GRADIENT RICCI SOLITONS WITH POSITIVE RICCI CURVATURE AND SMALL WEYL TENSOR[J]. Acta mathematica scientia, Series B, 2019 , 39(5) : 1235 -1239 . DOI: 10.1007/s10473-019-0503-0

[1] Cao H D. Recent progress on Ricci solitons. Adv Lect Math, 2010, 11(2):1-38
[2] Cao H D. Geometry of complete gradient shrinking Ricci solitons. Adv Lect Math, 2011, 17(1):227-246
[3] Cao X. Curvature pinching estimate and singularities of the Ricci flow. Comm Anal Geom, 2011, 19(5):975-990
[4] Catino G. Complete gradient shrinking Ricci solitons with pinched curvature. Math Ann, 2013, 355(2):629-635
[5] Chen X X, Wang Y Q. On four-dimensional anti-self-dual gradient Ricci solitons. J Geom Anal, 2015, 25(2):1335-1343
[6] Eminenti M, La Nave G, Mantegazza C. Ricci solitons-the equation point of view. Manuscripta Math, 2008, 127(3):345-367
[7] Hamilton R. The formation of singularities in the Ricci flow. Surv Diff Geom, 1993, 2:7-136
[8] Huisken G. Ricci deformation of the metric on a Riemannian manifold. J Diff Geom, 1985, 21:47-62
[9] Ivey T. Ricci solitons on compact three manifolds. Differential Geom Appl, 1993, 3:301-307
[10] Knopf D. Estimating the trace-free Ricci tensor in Ricci flow. Proc Amer Math Soc, 2009, 137(9):3099-3103
[11] Munteanu O, Sesum N. On gradient Ricci solitons. J Geom Anal, 2013, 23(2):539-561
[12] Ni L, Wallach N. On a classification of the gradient shrinking solitons. Math Res Lett, 2008, 15(5):941-955
[13] Perelman G. The entropy formula for the Ricci flow and its geometric applications. arXiv:math.DG/0211159 v1, 2002, preprint
[14] Petersen P, Wylie W. On the classification of gradient Ricci solitons. Geom Topol, 2010, 14(4):2277-2300
[15] Zhang Z H. Gradient shrinking solitons with vanishing Weyl tensor. Pacific J Math, 2009, 242(1):189-200