SOME GAP THEOREMS FOR GRADIENT RICCI SOLITONS

被引：15

作者：

Fernandez-Lopez, Manuel ^{[1
]}

Garcia-Rio, Eduardo ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Math, Santiago De Compostela 15782, Spain

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 07期

关键词：

Gradient Ricci soliton; Einstein manifold; gap theorem;

D O I：

10.1142/S0129167X12500723

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary and sufficient conditions for a gradient Ricci soliton to be Einstein are given, showing that they can be expressed in terms of upper and lower bounds on the behavior of the Ricci tensor when evaluated on the gradient of the potential function of the soliton.

引用

页数：9

共 19 条

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La Nave, Gabriele
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[9] A remark on compact Ricci solitons
Fernandez-Lopez, M.
Garcia-Rio, E.
[J]. MATHEMATISCHE ANNALEN, 2008, 340 (04) : 893 - 896
[10] Rigidity of shrinking Ricci solitons
Fernandez-Lopez, Manuel
Garcia-Rio, Eduardo
[J]. MATHEMATISCHE ZEITSCHRIFT, 2011, 269 (1-2) : 461 - 466

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