Derivatives of Sasakian metric ^{S}g on Cotangent Bundle

Authors : Haşim ÇAYIR

Pages : 751-761

Doi:10.31801/cfsuasmas.464226

View : 15 | Download : 10

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this paper, we define a Sasakian metric ^{S}g on cotangent bundle T^{∗}Mⁿ, which is completely determined by its action on complete lifts of vector fields. Later, we obtain the covariant and Lie derivatives applied to Sasakian metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively
Keywords : Covarient derivative, Lie derivative, Sasakian metric, vertical lift, complete lift, horizontal lift