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

Journal of the Australian Mathematical Society

SUN HYANG CHUN¹ 

[1]JEONGHYEONG PARK

关键词: primary 53C25;    secondary 53D10;   

DOI  :  10.1017/S1446788711001388

学科分类：数学（综合）

来源: Cambridge University Press

【 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.

【 授权许可】

Unknown