On tangent sphere bundles with contact pseudo-metric structures

Document Type : Original Article

Authors

Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

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

References

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Journal of Finsler Geometry and its Applications
Volume 6, Issue 1
July 2025
Pages 92-102

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