DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE

Year 2018, Volume: 36 Issue: 2, 361 - 372, 01.06.2018

Haşim Çayır

Abstract

In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , 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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