STABILITY UNDER DEFORMATIONS OF EXTREMAL ALMOST-KAHLER METRICS IN DIMENSION 4.

被引：0

作者：

Lejmi, Mehdi ^{[1
]}

机构：

[1] Univ Quebec Montreal, Dept Math, Montreal, PQ H3C 3P8, Canada

来源：

MATHEMATICAL RESEARCH LETTERS | 2010年 / 17卷 / 04期

关键词：

SCALAR CURVATURE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a path of almost-Kahler metrics compatible with a fixed symplectic form on a compact 4-manifold such that at time zero the almost-Kahler metric is an extremal Kahler one, we prove, for a short time and under a certain hypothesis, the existence of a smooth family of extremal almost-Kahler metrics compatible with the same symplectic form, such that at each time the induced almost-complex structure is diffeomorphic to the one induced by the path.

引用

页码：601 / 612

页数：12

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