- Sigma Mühendislik ve Fen Bilimleri Dergisi
- Vol: 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 : 8 | Download : 4
Publication Date : 2018-06-01
Article Type : Research
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.