SOME NOTES ON INTEGRABILITY CONDITIONS, SASAKI METRICS AND OPERATORS ON (1,1)-TENSOR BUNDLE

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:37 Issue:2
SOME NOTES ON INTEGRABILITY CONDITIONS, SASAKI METRICS AND OPERATORS ON (1,1)-TENSOR BUNDLE

SOME NOTES ON INTEGRABILITY CONDITIONS, SASAKI METRICS AND OPERATORS ON (1,1)-TENSOR BUNDLE

Authors : Haşim ÇAYIR, Yasemin SOYLU, Hülya DURUR

Pages : 445-459

View : 37 | Download : 7

Publication Date : 2019-06-01

Article Type : Research Paper

Abstract :The main purpose of the present paper is to study integrability conditions by calculating the Nijenhuis Tensors of almost paracomplex structure on Tensor Bundle. Later, we obtain the Lie derivatives applied to Sasakian metrics with respect to the horizontal and vertical lifts of vector and kovector fields, respectively. Finally, we get the results of Tachibana and Vishnevskii operators applied to horizontal and vertical lifts according to structure on Tensor Bundle .
Keywords : Integrability conditions, Sasaki Metrics, Tachibana operators, Almost Paracomplex structure, Tensor Bundle

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