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

Year 2019, Volume: 37 Issue: 2, 445 - 459, 01.06.2019

Haşim Çayır Yasemin Soylu Hülya Durur

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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