Liftings from Lorentzian para-Sasakian manifolds to its tangent bundle

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  • Mohammad Nazrul Islam Khan Qassim University
  • Riyaz Ahmad Khan University of Technology and applied science, Department of Information Technology


Complete lift, Tangent bundle, Weyl conformal curvature tensor, Quasi conformal curvature tensor


The subject of the present study is to investigate liftings from Lorentzian
para-Sasakian manifolds to its tangent bundle.


Adati, T. and Matsumoto, K, On conformally recurrent and conformally symmetric P-Sasakian manifolds, TRU Math., 13, 25-32, 1977.

Altunbas, M., Bilen, L. and Gezer, A., Remarks about the Kaluza-Klein metric on tangent bundle, Int. J. Geo. Met. Mod. Phys., 16 (3) (2019), 1950040.

Biswas, S. C. and De, U. C., Quarter-symmetric metric connection in an SP-Sasakian manifold, Communications, Faculty of Sciences. University of Ankara Series A, 46(1-2), 49–56, 1997.

Chaki, M.C. and Gupta, B., On Conformally Symmetric Spaces, Indian J. Math., 5, 1963, 113–122.

Das, L. S., Khan, M. N. I., Almost r-contact structures on the Tangent bundle, Differential Geometry-Dynamical Systems, 7 (2005) 34-41.

De, U. C., Han, Y. L., Zhao, P. B., A special type of semi-symmetric nonmetric connection of a Riemannian manifold, Facta Universitis (NIS) Ser. Math. Inform, Vol. 31, No 2 (2016), 529–541.

De, U. C., Matsumoto, K. and Shaikh, A. A., On Lorentzian para-Sasakian manifolds, Rendiconti del Seminario Matematico di Messina, Serie II, Supplemento al 3 (1999), 149-158.

Dida, H. M. and Hathout, F., Ricci soliton on the tangent bundle with semi-symmetric metric connection, Bulletin of the Transilvania University of Bra¸sov Series III: Mathematics and Computer Science, 1(63)(2), 2021, 37-52.

Dida, H. M. and Ikemakhen, A., A class of metrics on tangent bundles of

pseudo-Riemannian manifolds, Archivum Mathematicum (BRNO) Tomus,

(2011), 293–308.

Dida, H. M. , Hathout, F. and Djaa, M., On the geometry of the second order tangent bundle with the diagonal lift metric, Int. Journal of Math. Analysis, 3(9), 2009, 443 - 456.

Khan, M. N. I., Lifts of hypersurfaces with quarter-symmetric semi-metric connection to tangent bundles, Afrika Matematika, 27 (2014), 475-482.

Kazan, A. Karadag, H. B., Locally decomposable golden tangent bundles with CheegerGromoll metric, Miskolc Math. Not., 17 (1) (2016), 399-411.

Khan, M. N. I., Tangent bundle endowed with quarter-symmetric nonmetric connection on an almost Hermitian manifold, Facta Universitis (NIS) Ser. Math. Inform, 35(1) (2020), 167-178.

Khan, M. N. I., Quarter-symmetric semi-metric connection on a Sasakian manifold, Tensor, N.S., 68(2) (2007), 154-157.

Khan, M. N. I., Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold, Chaos, Solitons & Fractals, 146, May 2021, 110872.

Matsumoto, K., On Lorentzian paracontact manifolds, Bull. Of Yamagata Univ. Nat. Sci., 12(2), 1989, 151–156.

Mihai, I. and Rosca, R., On Lorentzian P-Sasakian manifolds, Classical Analysis, World Scientific Publi., Singapore, 1992, 155–169.

Matsumoto, K. and Mihai, I., On a certain transformation in a Lorentzian para-Sasakian manifold, Tensor, N.S., 47, 1988, 189–197.

Murathan, C., Yildiz, A., Arslan ,K. and De, U. C., On a class of Lorentzian para-Sasakian Manifolds, Proc. Estonian Acad. 8. Phys. Math.,

, 55(4), 210–219.

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

Sato, I., On a structure similar to the almost contact structure, Tensor New Series, 30(3), 1976, 219-224.

Tarafdar, M. and Bhattacharya, A., On Lorentzian para-Sasakian manifolds, Steps in Differential Geometry, Proceedings of the Colloquium on Differential Geometry, 25–30 July, 2000, Debrecen, Hungary, 343-348.

Yano, K. and Sawaki, S., Riemannian manifolds admitting a conformal transformation group, J. Diff. Geom. 2 (1968), 161-184.

Yano, K. Ishihara, S., Tangent and cotangent bundles, Marcel Dekker, Inc., New York, 1973.



2023-10-31 — Updated on 2023-10-31


How to Cite

Khan, M. N. I., & Khan, R. A. (2023). Liftings from Lorentzian para-Sasakian manifolds to its tangent bundle. Results in Nonlinear Analysis, 6(4), 74–82. Retrieved from