ISSN: 1304-7191 | E-ISSN: 1304-7205
Derivatives with Respect to Complete and Vertical Lifts of the Cheeger-Gromoll Metric CGg G on Cotangent Bundle
1Department of Mathematics, Giresun University, GİRESUN
Sigma J Eng Nat Sci 2018; 36(2): 361-372
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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.