Published online by Cambridge University Press: 21 September 2011
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.
The research of S. H. Chun was supported by the National Research Foundation of Korea Grant funded by the Korean Government (NRF-2009-351-C00010). The research of J. H. Park was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0028097).