Derivatives with respect to horizontal and vertical lifts of the deformed complete lift metric G_{f} on tangent bundle.
Résumé
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 X^{H} and ω^{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.
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Références
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