On almost Hermitian 4-manifolds with J-invariant Ricci tensor

被引：0

作者：

Xenos, PJ ^{[1
]}

机构：

[1] Aristotelian Univ Salonika, Sch Technol, Div Math, GR-54006 Salonika, Greece

来源：

GEOMETRIAE DEDICATA | 1999年 / 77卷 / 03期

关键词：

J-invariant Ricci tensor; conformally flat manifolds; manifolds with harmonic curvature; almost Kahler manifolds;

D O I：

10.1023/A:1005149900118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every almost Hermitian 4-manifold with J-invariant Ricci tensor which is conformally flat or has harmonic curvature is either a space of constant curvature or a Kahler manifold. We also obtain analogous results on almost Kahler 4-manifolds.

引用

页码：289 / 295

页数：7

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