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.

引用

页码：243 / 256

页数：14

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