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On tangent sphere bundles with contact pseudo-metric structures | ||
Journal of Finsler Geometry and its Applications | ||
دوره 6، شماره 1، مهر 2025، صفحه 92-102 اصل مقاله (286.26 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2025.16892.1148 | ||
نویسندگان | ||
Narges Ghaffarzadeh؛ Morteza Faghfouri* | ||
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
contact pseudo-metric structure؛ tangent sphere bundle؛ unit tangent sphere bundle؛ Sasaki pseudo-metric | ||
مراجع | ||
1. D. E. Blair, T. Koufogiorgos, and B. J. Papantoniou, Contact metric manifolds satisfying a nullity condition, Israel J. Math., 91(1995), 189-214. 2. G. Calvaruso and D. Perrone, Contact pseudo-metric manifolds, Differ. Geom. Appl.,28(2010), 615-634. 3. P. Dombrowski, On the geometry of the tangent bundle, J. Reine Angew. Math.,210(1962), 73-88. 4. N. Ghaffarzadeh and M. Faghfouri, On contact pseudo-metric manifolds satisfying a nullity condition, J. Math. Anal. Appl., 497(2021), No. 124849, 16. 5. O. Kowalski, Curvature of the induced Riemannian metric on the tangent bundle of a Riemannian manifold, J. Reine Angew. Math., 250(1971), 124-129. 6. D. Perrone, Curvature of K-contact semi-Riemannian manifolds, Canad. Math. Bull.,57(2014), 401-412. 7. S. Sasaki, On the differential geometry of tangent bundles of Riemannian manifolds,Tohoku Math. J. 10(1958), 338-354. 8. M. Sekizawa, Curvatures of tangent bundles with Cheeger-Gromoll metric, Tokyo J.Math., 14(1991), 407-417. 9. S.-i. Tachibana and M. Okumura, On the almost-complex structure of tangent bundles of Riemannian spaces, Tohoku Math. J. 14(1962), 156-161. 10. T. Takahashi, Sasakian manifold with pseudo-Riemannian metric, Tohoku Math. J.21(1969), 271-290. 11. Y. Tashiro, On contact structures of tangent sphere bundles, Tohoku Math. J. 21(1969),117-143. | ||
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