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H-CONTACT UNIT TANGENT SPHERE BUNDLES OF FOUR-DIMENSIONAL RIEMANNIAN MANIFOLDS
- Issue Date
- Oct-2011
- Keywords
- 2-stein; H-contact manifold; tangent sphere bundle
- Citation
- JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.91, no.2, pp.243 - 256
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
- Volume
- 91
- Number
- 2
- Start Page
- 243
- End Page
- 256
- ISSN
- 1446-7887
- Abstract
- 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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Related Researcher
- PARK, JEONG HYEONG
- Science (Mathematics)