Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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PROLONGATION OF G-STRUCTURES IMMERSED IN THE GOLDEN STRUCTURE TO TANGENT BUNDLES OF HIGHER ORDER

  • MANISHA M. KANKAREJ (College of Science and Liberal Arts, Rochester Institute of Technology) ;
  • GEETA VERMA (Department of Mathematics, Shri Ramswaroop Memorial Group Of Professional Colleges)
  • Received : 2023.04.04
  • Accepted : 2024.05.21
  • Published : 2024.09.30
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Abstract

The aim of the present paper is to study the lifts of a golden structure to tangent bundles of order r. We proved that r-lift of the golden structure F in the tangent bundle of order r is also a golden structure. We have also proved some theorems on the projection tensor in the tangent bundle of order r. Later we have established prolongations of G-structures immersed in the golden structure to the tangent bundle of order r and 2. Finally, we constructed few examples of the golden structure that admit an almost para contact structure on the tangent bundle of order 3 and 4.

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References

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