Rigidity of gradient Einstein shrinkers

被引：41
|
作者：
Catino, Giovanni [1 ,2 ]
Mazzieri, Lorenzo [3 ]
Mongodi, Samuele [3 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy
[3] Scuola Normale Super Pisa, I-56126 Pisa, Italy
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2015年 / 17卷 / 06期
关键词：
Einstein manifolds; Ricci solitons; Ricci flow; RICCI SOLITONS;
D O I：
10.1142/S0219199715500467
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a perturbation of the Ricci solitons equation proposed in [J.-P. Bourguignon, Ricci curvature and Einstein metrics, in Global Differential Geometry and Global Analysis, Lecture Notes in Mathematics, Vol. 838 (Springer, Berlin, 1981), pp. 4263] and studied in [H.-D. Cao, Geometry of Ricci solitons, Chinese Ann. Math. Ser. B 27(2) (2006) 121-142] and we classify noncompact gradient shrinkers with bounded non-negative sectional curvature.
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页数：18
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