- Konuralp Journal of Mathematics
- Volume:9 Issue:2
- On the Lifts of $F^{K}+F=0,$ $(Fneq 0,Kgeqslant 0)-$Structure on Cotangent and Tangent Bundle
On the Lifts of $F^{K}+F=0,$ $(Fneq 0,Kgeqslant 0)-$Structure on Cotangent and Tangent Bundle
Authors : Haşim ÇAYIR
Pages : 281-291
View : 41 | Download : 10
Publication Date : 2021-10-15
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 $Finsert ignore into journalissuearticles values(K,1);-$structure satisfying $F^{K}+F=0$. Later, we get the results of Tachibana operators applied to vector and covector fields according to the horizontal lifts of $Finsert ignore into journalissuearticles values(K,1);-$structure in cotangent bundle $ T^{\ast }insert ignore into journalissuearticles values(M^{n});$. Finally, we have studied the purity conditions of Sasakian metric with respect to the horizontal lifts of $Finsert ignore into journalissuearticles values(K,1);-$structure. In the second part, all results obtained in the first section were obtained according to the complete and horizontal lifts of $Finsert ignore into journalissuearticles values(K,1);-$structure in tangent bundle $Tinsert ignore into journalissuearticles values(M^{n});$.Keywords : Integrability conditions, Tachibana operators, lifts, Sasakian metric, tangent bundle, cotangent bundle
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