LIFTING OF A GENERALISED ALMOST $r$-CONTACT STRUCTURE IN A TANGENT BUNDLE


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Authors

  • Mohit Saxena The Papua New Guinea University of Technology
  • Manisha M Kankarej Rochester Institue of Technology, Dubai, UAE
  • Riyaz Ahmad Khan Nizwa College of Technology, Sultanate of Oman https://orcid.org/0000-0002-2162-2621

Keywords:

Tangent bundle, complete lift, Lie derivative, horizontal lift, vertical lift

Abstract

Different structures defined on a differentiable manifold $M$ can be lifted to the same type of structures on its tangent bundle. Many researcher analysed herein obtained results in this vista. In this paper our aim is to study Lie derivatives in reference to the vertical and complete lifts of generalized almost r-contact structure in the tangent bundle. We investigate some theorems on induced Nijenhuis tensor in tangent bundle. Moreover, the complete lift of Hsu-structure along the cross section in tangent bundle is studied.

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Published

2024-08-16

How to Cite

Saxena, M. ., Kankarej, M. M., & Khan, R. A. (2024). LIFTING OF A GENERALISED ALMOST $r$-CONTACT STRUCTURE IN A TANGENT BUNDLE. Results in Nonlinear Analysis, 7(3), 194–201. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/464