H-CONTACT UNIT TANGENT SPHERE BUNDLES OF FOUR-DIMENSIONAL RIEMANNIAN MANIFOLDS

被引：7
|
作者：
Chun, Sun Hyang [1 ]
Park, Jeonghyeong [1 ]
Sekigawa, Kouei [2 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
[2] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 91卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
tangent sphere bundle; H-contact manifold; 2-stein; VECTOR FIELD; CURVATURE;
D O I：
10.1017/S1446788711001388
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the geometric properties of a base manifold whose unit tangent sphere bundle, equipped with the standard contact metric structure, is H-contact. We prove that a necessary and sufficient condition for the unit tangent sphere bundle of a four-dimensional Riemannian manifold to be H-contact is that the base manifold is 2-stein.
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页码：243 / 256
页数：14
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