POLARIZED 4-MANIFOLDS, EXTREMAL KAHLER METRICS, AND SEIBERG-WITTEN THEORY

被引：0

作者：

LeBrun, Claude ^{[1
]}

机构：

[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 1995年 / 2卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Seiberg-Witten theory, it is shown that any Kahler metric of constant negative scalar curvature on a compact 4-manifold M minimizes the L-2-norm of scalar curvature among Riemannian metrics compatible with a fixed decomposition H-2(M) = H+ circle plus H-. This implies, for example, that any such metric on a minimal ruled surface must be locally symmetric.

引用

页码：653 / 662

页数：10

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