On Complete, Horizontal and Vertical Lifts From a Manifold With fλ(6,4) Structure to Its Cotangent Bundle

Main Article Content

Manisha M. Kankarej
Jai Pratap Singh


Manifolds with fλ(6,4) structure was defined and studied in the past. Later the geometry of tangent and cotangent bundles in a differentiable manifold with fλ(6,4) structure was studied. The aim of the present paper is to study complete, horizontal and vertical lifts from a manifold with fλ(6,4)- structure to its cotangent bundle.

Article Details


  1. H. Cayir, Tachibana and Vishnevskii Operators Applied to XV and XH in Almost Paracontact Structure on Tangent Bundle T(M), New Trends Math. Sci. 4 (2016), 105-115. https://doi.org/10.20852/ntmsci.2016318821.
  2. H. Cayir, Lie Derivatives of Almost Contact Structure and Almost Paracontact Structure With Respect To Xv and XH on Tangent Bundle T(M), Proc. Inst. Math. Mech. 42 (2016), 38-49.
  3. H. Cayir, Some Notes on Lifts of the ((ν+1), λ2(ν −1)) - Structure on Cotangent and Tangent Bundle, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 70 (2021), 241–264. https://doi.org/10.31801/cfsuasmas.712861.
  4. L.S. Das, R. Nivas, V.N. Pathak, On Horizontal and Complete Lifts From a Manifold With fλ(7; 1)-Structure to Its Cotangent Bundle, Int. J. Math. Math. Sci. 8 (2005), 1291-1297. https://doi.org/10.1155/IJMMS.2005.1291.
  5. K.K. Dube, On a Differentiable Structure Satisfying f2v+4+f2=0; f6=0 of Type (1; 1), Nepali Math. Sci. Rep. 17 (1998), 99-102.
  6. J.B. Kim, Notes on f-Manifold, Tensor N-S, 29 (1975), 299-302.
  7. T. Li, D. Krupka, The Geometry of Tangent Bundles: Canonical Vector Fields, Geometry. 2013 (2013), 364301. https://doi.org/10.1155/2013/364301.
  8. R. Nivas, M. Saxena, On Complete and Horizontal Lifts From a Manifold With HSU-(4; 2) Structure to Its Cotangent Bundle, Nepali Math. Sci. Rep. 23 (2004), 35-41.
  9. S.K. Srivastava, R. Nivas, On Horizontal & Complete Lifts From a Manifold With fλ(7, −1) Structure to Its Cotangent Bundle, J. Tensor Soc. India, 14 (1996), 42-48.
  10. S.K. Srivastava, On the Complete Lifts of (1, 1) Tensor Field F Satisfying Structure Fν+1−λ2Fν−1=0, Nepali Math. Sci. Rep. 21 (2003), 89-99.
  11. M.D. Upadhyay, V.C. Gupta, Integrability Conditions of a F(K;−(K− 2)) - Structure Satisfying FK−FK−2=0; (F≠0; I), Rev. Univ. Nac. Tucuman, 20 (1976), 31-44.
  12. K. Yano, On a Structure Defined by a Tensor Field f of Type (1,1) Satisfying f3+f=0, Tensor N. S. 14 (1963), 99-109.
  13. K. Yano, C.S. Houh, B.Y. Chen, Structures Defined by a Tensor Field φ of Type (1,1) Satisfying φ4±φ2=0, Tensor N. S. 23 (1972), 81-87.
  14. K. Yano, S. Ishihara, Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, (1973).