On tangent sphere bundles with contact pseudo-metric structures

In this paper, we introduce a contact pseudo-metric structure on a tangent sphere bundle TεM. we prove that the tangent sphere bundle TεM is (κ, μ)-contact pseudo-metric manifold if and only if the manifold M is of constant sectional curvature. Also, we prove that this structure on the tangent sphere bundle is K-contact iff the base manifold has constant curvature ε.

کلیدواژه ها:

contact pseudo-metric structure ، tangent sphere bundle ، unit tangent sphere bundle ، Sasaki pseudo-metric