Local rigidity of certain classes of almost Kahler 4-manifolds

被引：17

作者：

Apostolov, V

Armstrong, J

Draghici, T

机构：

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

[2] Florida Int Univ, Dept Math, Miami, FL 33199 USA

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2002年 / 21卷 / 02期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

almost Kahler 4-manifolds; 3-symmetric spaces; curvature conditions of Gray;

D O I：

10.1023/A:1014779405043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any non-Kahler, almost Kahler 4-manifold for which both the Ricci and the Weyl curvatures have the same algebraic symmetries as they have for a Kahler metric is locally isometric to the (only) proper 3-symmetric four-dimensional space.

引用

页码：151 / 176

页数：26

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