Derivatives with Respect to Complete and Vertical Lifts of the Cheeger-Gromoll Metric CGg G on Cotan
Sigma Journal of Engineering and Natural Sciences 2018, Vol. 36, Issue 2, pp. 361-372; doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-derivatives-with-respect-to-complete-and-vertical-lifts-of-the-cheeger-gromoll-m
Abstract
In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle T* M n, which is completely determined by its actionon complete lifts of vector fields. Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.
Keywords: Covarient derivative; lie derivative; Cheeger-Gromoll metric; complete lift; vertical lift.
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ÇAYIR, H. Derivatives with Respect to Complete and Vertical Lifts of the Cheeger-Gromoll Metric CGg G on Cotan. Sigma Journal of Engineering and Natural Sciences 2018, Vol. 36, pp. 361-372. https://doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-derivatives-with-respect-to-complete-and-vertical-lifts-of-the-cheeger-gromoll-m
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