GRADIENT SHRINKING SOLITONS WITH VANISHING WEYL TENSOR

被引:69
作者
Zhang, Zhu-Hong [1 ]
机构
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
关键词
gradient Ricci soliton; vanishing Weyl tensor; Hamilton-Ivey pinching estimate;
D O I
10.2140/pjm.2009.242.189
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We will give a local version of the Hamilton-Ivey-type pinching estimate of the gradient shrinking soliton with vanishing Weyl tensor, and then give a complete classification of gradient shrinking solitons with vanishing Weyl tensor.
引用
收藏
页码:189 / 200
页数:12
相关论文
共 16 条
[1]  
CAO HD, SURVEYS DIFFERENTIAL, V12, P47
[2]  
CAO XD, 2008, ARXIV08070588
[3]  
CHEN BL, 2007, ARXIV07063081V1
[4]  
Chow B., 2004, mathematical surveys and monographs, V110
[5]   The existence of Type II singularities for the Ricci flow on Sn+1 [J].
Gu, Hui-Ling ;
Zhu, Xi-Ping .
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2008, 16 (03) :467-494
[6]  
HAMILTON RS, 1986, J DIFFER GEOM, V24, P153
[7]  
HAMILTON RS, 1993, SURVEYS DIFFERENTIAL, V12, P7
[8]   RICCI SOLITONS ON COMPACT 3-MANIFOLDS [J].
IVEY, T .
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 1993, 3 (04) :301-307
[9]  
KOTSCHWAR B, 2007, ARXIVMATH0702597V1
[10]  
NABER A, 2008, ARXIV07105579V2