JP Journal of Geometry and Topology

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LIFTINGS OF $f_{(a,b)} (3,2,1)$-STRUCTURES TO TANGENT BUNDLES

Authors

  • Murat ALTUNBAŞ

Keywords:

complete lift, horizontal lift, tangent bundle

DOI:

https://doi.org/10.17654/0972415X25001

Abstract

In this paper, we study the horizontal and complete lifts of $f_{(a,b)} (3,2,1)$-structures to the tangent bundles of (semi-)Riemannian manifolds and obtain some results about metric, structures and distributions.

Received: December 8, 2024
Revised: January 20, 2025
Accepted: January 28, 2025

References

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M. Gok, E. Kilic and C. Ozgur, -structures on manifolds, J. Geom. Phys. 169 (2021), 104346.

C. E. Hretcanu and M. Crasmareanu, Metallic structures on Riemannian manifolds, Revista de la Union Matematica Argentina 54(2) (2013), 15-27.

M. N. I. Khan, M. A. Choudhary and S. K. Chaubey, Alternative equations for horizontal lifts of the metallic structures from manifold onto tangent bundle, J. Math. 2022, Art. ID 5037620, 8 pp.

M. Ozkan, Prolongations of golden structures to tangent bundles, Differ. Geom. Dyn. Syst. 16 (2014), 227-238.

M. Ozkan, E. Taylan and A. A. Citlak, On lifts of silver structure, Journal of Science and Arts 2(39) (2017), 223-234.

M. Ozkan and T. Tamirci, Some properties of complex golden conjugate connections, Facta Uni. Ser. Mat. Inf. 37(5) (2022), 1007-1020.

E. Peyghan, F. Firuzi and U. C. De, Golden Riemannian structures on the tangent bundle with g-natural metrics, Filomat 33(8) (2019), 2543-2554.

K. Yano and S. Ishihara, Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, 1973.

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Published

2025-03-19

Issue

Vol. 31 No. 1 (2025)

Section

Articles

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How to Cite

LIFTINGS OF $f_{(a,b)} (3,2,1)$-STRUCTURES TO TANGENT BUNDLES. (2025). JP Journal of Geometry and Topology, 31(1), 1-10. https://doi.org/10.17654/0972415X25001