Starting from g g-natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere bundle T_1 MT 1 M of a Riemannian manifold (M, ⟨, ⟩)(M,⟨,⟩), we construct …
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle T 1 M of a Riemannian manifold M and we study some of their special properties …
MTK Abbassi, O Kowalski - Differential Geometry and its Applications, 2010 - Elsevier
It is well known that the unit tangent sphere bundle T1Sm of the standard sphere Sm can be naturally identified with the Stiefel manifold V2Rm+ 1= SO (m+ 1)/SO (m− 1). In this paper …
D Perrone - Results in Mathematics, 2014 - Springer
In this paper, we show that if an integrable contact pseudo-metric manifold of dimension 2 n+ 1, n≥ 2, has constant sectional curvature κ κ, then the structure is Sasakian and κ= ε= g …
MT KADAOUI ABBASSI… - Topics in Almost Hermitian …, 2005 - World Scientific
Let (M, g) be a Riemannian manifold, TM its tangent bundle and T1M its unit tangent sphere bundle. The family of all Riemannian g-natural metrics G on TM have been determined by …
G Calvaruso, D Perrone - Journal of the Australian Mathematical …, 2010 - cambridge.org
We prove that all g-natural contact metric structures on a two-point homogeneous space are homogeneous contact. The converse is also proved for metrics of Kaluza–Klein type. We …
E Boeckx, G Calvaruso - Tohoku Mathematical Journal, Second …, 2004 - jstage.jst.go.jp
We prove that the unit tangent sphere bundle of a Riemannian manifold is semi-symmetric if and only if it is locally symmetric, ie, the base manifold is either flat or it is two-dimensional …