- International Electronic Journal of Geometry
- Volume:12 Issue:1
- On the Lifts of F(2K + S S)-Structure Satisfying F^(2K+S) + F^S = 0 (F≠ 0 K≥ 0 ,S≥1 ) on Cotangent a...
On the Lifts of F(2K + S S)-Structure Satisfying F^(2K+S) + F^S = 0 (F≠ 0 K≥ 0 ,S≥1 ) on Cotangent and Tangent Bundle
Authors : Haşim ÇAYIR, Fıdan JABRAİLZADE
Pages : 71-84
Doi:10.36890/iejg.545763
View : 52 | Download : 8
Publication Date : 2019-03-27
Article Type : Research Paper
Abstract :This paper consists of two main sections. In the first part, we find the integrability conditions by calculating Nijenhuis tensors of the horizontal lifts of Finsert ignore into journalissuearticles values(2K + S, S);−structure Satisfying F 2K+S + F S = 0. Later, we get the results of Tachibana operators applied to vector and covector fields according to the horizontal lifts of Finsert ignore into journalissuearticles values(2K + S, S);−structure in cotangent bundle T ∗ insert ignore into journalissuearticles values(Mn);. Finally, we have studied the purity conditions of Sasakian metric with respect to the horizontal lifts of the structure. In the second part, all results obtained in the first section were obtained according to the complete and horizontal lifts of Finsert ignore into journalissuearticles values(2K + S, S);−structure in tangent bundle Tinsert ignore into journalissuearticles values(Mn);.Keywords : Integrability conditions, Tachibana operators, lifts, Sasakian metric, tangent bundle, cotangent bundle
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