On tangent sphere bundles with contact pseudo-metric structures

Author(s):

Narges Ghaffarzadeh , Morteza Faghfouri *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Contact Pseudo-Metric Structure , Tangent Sphere Bundle , Unit Tangent Sphere Bundle , Sasaki Pseudo-Metric

Language:
English
Published:
Journal of Finsler Geometry and its Applications, Volume:6 Issue: 1, May 2025
Pages:
92 to 102
https://www.magiran.com/p2862317