Derivatives with Respect to Horizontal and Vertical Lifts of the Deformed Complete Lift Metric Gf on Tangent Bundle

Çauir H., Akpinar R. C.

Boletim da Sociedade Paranaense de Matematica, vol.40, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40
  • Publication Date: 2022
  • Doi Number: 10.5269/bspm.51222
  • Journal Name: Boletim da Sociedade Paranaense de Matematica
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Keywords: Covarient derivative, Lie derivative, Ddeformed complete lift metric (G)over-tilde(f), Horizontal Lift, Vertical lift, Tangent bundle
  • Karadeniz Technical University Affiliated: No

Abstract

© 2022 Boletim da Sociedade Paranaense de Matematica. All rights reserved.In this paper, we define the deformed complete lift metric G f on tangent bundle, which is completely determined by its action on vector fields of type XH and !V . Later, we obtain the covarient and Lie derivatives applied to the deformed complete lift metric G f with respect to the horizontal and vertical lifts of vector fields, respectively.