On the lifts of F_{a}(5,1)-structure on tangent and cotangent bundle

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).

Keywords:

Integrability, Tachibana operators, Lifts, Tangent bundle, Cotangent bundle Sasakian metric,

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover

ISSN: 1303-5991
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1948
Yayıncı: Ankara Üniversitesi

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