The structure of a class of K-contact manifolds

被引：26
|
作者：
Cabrerizo, JL
Fernández, LM
Fernández, M
Zhen, G
机构：
[1] Univ Sevilla, Fac Matemat, Dept Geometria & Topol, E-41080 Seville, Spain
[2] Yunnan Normal Univ, Dept Math, Kunming 650092, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 1999年 / 82卷 / 04期
关键词：
Vector Field; Sectional Curvature; Regular Contact; Holomorphic Sectional Curvature; Contact Vector;
D O I：
10.1023/A:1006696410826
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study a class of K-contact manifolds, namely phi-conformally flat K-contact manifolds and we show that a compact phi-conformally flat K-contact manifold with regular contact vector field is a principal S-1-bundle over an almost Kaehler space of constant holomorphic sectional curvature.
引用
收藏
页码：331 / 340
页数：10
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