Rigidity of gradient Einstein shrinkers

被引：42

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

共 14 条

[1] Besse A. L., 2008, EINSTEIN MANIFOLDS
[2] Bourguignon J.P., 1981, Global differential geometry and global analysis, P42
[3] Cao H.-D., 2008, SURVEYS DIFFERENTIAL, V12, P47
[4] Geometry of Ricci solitons
Cao, Huai-Dong
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2006, 27 (02) : 121 - 142
[5] Cao HD, 2010, J DIFFER GEOM, V85, P175
[6] Gradient Einstein solitons
Catino, Giovanni
Mazzieri, Lorenzo
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 132 : 66 - 94
[7] Gilbarg D., 1977, GRUNDLEHREN DER MATH, V224
[8] RICCI SOLITONS ON COMPACT 3-MANIFOLDS
IVEY, T
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 1993, 3 (04) : 301 - 307
[9] Morrey Jr C. B., 2008, MULTIPLE INTEGRALWS
[10] Noncompact shrinking four solitons with nonnegative curvature
Naber, Aaron
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2010, 645 : 125 - 153

← 1 2 →