Derivatives with Respect to Horizontal and Vertical Lifts of the Deformed Complete Lift Metric Gf on Tangent Bundle
Boletim da Sociedade Paranaense de Matematica, vol.40, 2022 (ESCI, Scopus)
- 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.