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

Year 2019, Volume: 68 Issue: 1, 751 - 761, 01.02.2019

Haşim Çayır

https://doi.org/10.31801/cfsuasmas.464226

Cited By: 1

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

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