Rigidity of gradient Einstein shrinkers

被引：48

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.

引用

页数：18

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