On Einstein metrics, normalized Ricci flow and smooth structures on 3CP2#k(CP2)over-bar

被引：0
作者：
Torres, Rafael [1 ]
机构：
[1] CALTECH, Pasadena, CA 91125 USA
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2013年 / 19卷
关键词：
Q-Gorenstein smoothings; surfaces of general type; exotic smooth structures; Einstein metrics; GENERAL TYPE; SURFACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, first we consider the existence and nonexistence of Einstein metrics on the topological 4-manifolds 3CP(2)#k (CP2) over bar, the connected sum of CP2 with both choices of orientation, by using the idea of Rasdeaconu Suvaina, 2009, and the constructions in Park-Park-Shin, 2013. Then, we study the existence or nonexistence of nonsingular solutions of the normalized Ricci flow on the exotic smooth structures of these topological manifolds by employing the obstruction developed in Ishida, 2008.
引用
收藏
页码：179 / 188
页数：10
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