Smooth structures and Einstein metrics on Cp2#5, 6, 7(CP2)over-bar

被引：5

作者：

Rasdeaconu, Rares ^{[1
]}

Suvaina, Ioana ^{[2
]}

机构：

[1] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2009年 / 147卷

关键词：

COMPLEX-SURFACES; CURVATURE; MANIFOLDS;

D O I：

10.1017/S0305004109002527

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that each of the topological 4-manifolds Cp-2#k (CP2) over bar, for k = 5, 6, 7, 8 admits a smooth structure which has an Einstein metric of scalar curvature s > 0, a smooth structure which carries an Einstein metric with s < 0 and infinitely many non-diffeomorphic smooth structures which do not admit Einstein metrics. We also exhibit new examples of higher dimensional manifolds carrying Einstein metrics of both positive and negative scalar curvature.

引用

页码：409 / 417

页数：9

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