LIFTS OF GOLDEN STRUCTURES ON THE TANGENT BUNDLE

Geeta Verma

DOI Number
https://doi.org/10.22190/FUMI210304048V
First page
643
Last page
650

Abstract


The present paper aims to study the complete lift of golden structure on tangent bundles. Integrability conditions for complete lift and third-order tangent bundle are established.


Keywords

Golden structure, Complete lift, Nijenhuis tensor, Projection tensors, Tangent bundle.

Full Text:

PDF

References


bibitem{LOS} T. Omran, A. Sharfuddin, S. I. Husain, Lifts of structures on manifolds, Publications De L'institut Math., {bf 36}(50), (1984), 93-97.

bibitem{LM} L. S. Das, M. N. I. Khan, Almost r-contact structure on the tangent bundle, Differential Geometry-Dynamical System, {bf 7}, (2005), 34-41.

bibitem{MOS} M. N. I. Khan, On semi-invariant submanifolds of a nearly $r$-paracosymplectic manifold, Mathematica, {bf 60}(83(1)), (2018), 54-60.

bibitem{PS} S. I. Goldberg, K. Yano, Polynomial structures on manifolds, Kodai Math Sem Rep., {bf 22}, (1970), 199-218.

bibitem{MN} M. N. I. Khan, Tangent bundle endowed with quarter-symmetric non-metric connection on an almost Hermitian manifold, Facta Universitatis, Series: Mathematics and Informatics, {bf 35} (1), (2020), 167-178.

bibitem{SAA} A. A. Salimov, Tensor Operators and Their applications, Nova Science Publ., New York (2013).

bibitem{GCS} A. Gezer, N. Cengiz, A. A. Salimov, On integrability of Golden Riemannian structures, Turkish Journal

of Mathematics, {bf 37}, (2013), 693-703.

bibitem{MNT} M. N. I. Khan, Complete and horizontal lifts of Metallic structures, International Journal of Mathematics and Computer Science, {bf 15}(4), (2020), 983–992.

bibitem{KJ} M. N. I. Khan, J. B. Jun, Lorentzian Almost r-para-contact Structure in Tangent Bundle, Journal of the Chungcheong Mathematical Society, {bf 27}(1), (2014), 29-34.

bibitem{SAO} L. S. Das, Some problems on horizantal and complete lifts of $F((K+1)(K-1))$−structure $(K$, odd and $geq 3)$. Mathematica Balkanika. {bf 7} (1978), 57–62.

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

bibitem{MTL} M. Tekkoyun, On higher order complete-vertical and horizontal lifts of complex structures, Rend. Istit. Mat. Univ. Trieste, {bf XXXVI}, (2004), 97-111.

bibitem{MTC} M. Tekkoyun, S. Civelek, On lifts of structures on complex manifolds, Differential Geometry-Dynamics Systems, {bf 5}(1) (2003), 59-64.

bibitem{CR} M. N. I. Khan, L. S. Das, On CR-Structures and the General Quadratic Structure, Journal for Geometry and Graphics, {bf 24}(2) (2020), 249-255.

bibitem{MTO} M. Tekkoyun, On lifts of paracomplex structures, Turk. J. Math., {bf 30}, (2006), 197-210.

bibitem{MCF} M. Tekkoyun, S¸. Civelek, First order lifts of complex structures, Algebras Groups and Geometries (AGG), {bf 19}(3), (2002), 373-382.

bibitem{NTM} M. N. I. Khan, Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold, Chaos, Solitons & Fractals, 146(3), online 2 April 2021.

https://doi.org/10.1016/j.chaos.2021.110872.

bibitem{MAP} A. Morimoto, Prolongation of $G$-structures to tangent bundles of higher order, Nagoya Math. J., {bf 38} (1970), 153-179.

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




DOI: https://doi.org/10.22190/FUMI210304048V

Refbacks

  • There are currently no refbacks.




© University of Niš | Created on November, 2013
ISSN 0352-9665 (Print)
ISSN 2406-047X (Online)