This paper consist of three main sections. In the first part, we obtain the complete lifts of the F_{a}(5,1)-structure on tangent bundle. We have also obtained the integrability conditions by calculating the Nijenhuis tensors of the complete lifts of F_{a}(5,1)-structure. Later we get the conditions of to be the almost holomorfic vector field with respect to the complete lifts of F_{a}(5,1)- structure. Finally, we obtained the results of the Tachibana operator applied to the vector fields with respect to the complete lifts of F_{a}(5,1)-structure on tangent bundle. In the second part, all results obtained in the first section investigated according to the horizontal lifts of F_{a}(5,1)-structure in tangent bundle T(Mⁿ). In finally section, all results obtained in the first and second section were investigated according to the horizontal lifts of the F_{a}(5,1)- structure in cotangent bundle T^{∗}(Mⁿ).
Integrability Tachibana operators Lifts Tangent bundle Cotangent bundle Sasakian metric
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2021 |
Gönderilme Tarihi | 8 Temmuz 2020 |
Kabul Tarihi | 6 Ocak 2021 |
Yayımlandığı Sayı | Yıl 2021 Cilt: 70 Sayı: 1 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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