DIAMETER BOUNDS AND HITCHIN-THORPE INEQUALITIES FOR COMPACT RICCI SOLITONS

被引：14

作者：

Fernandez-Lopez, Manuel ^{[1
]}

Garcia-Rio, Eduardo ^{[1
]}

机构：

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

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2010年 / 61卷 / 03期

关键词：

D O I：

10.1093/qmath/hap006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give lower bounds for the diameter of a compact Ricci soliton depending on the scalar and Ricci curvatures as well as on the range of the potential function, which do not depend on the dimension of the manifold. As an application, sufficient conditions are provided for a four-dimensional compact Ricci soliton to satisfy the Hitchin-Thorpe inequality.

引用

页码：319 / 327

页数：9

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