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

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:36 Issue:2
DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT B...

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

Authors : Haşim ÇAYIR

Pages : 361-372

View : 29 | Download : 7

Publication Date : 2018-06-01

Article Type : Research Paper

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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