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In this chapter we will talk about geometry on the tangent bundle \(\mathcal{T}\mathcal{M}\) equipped with Sasaki gradient metric and a paracomplex structure we study the integrability of the paracomplex and we calculate the tensor almost product connection which allows us to calculate the connection and torsion of almost product connection.

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Sasaki Gradient Tensor and Para-Complex Structures

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  • 发表日期：

    2025年

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  • Lakehal Belarbi,
  • Hichem Elhendi

摘要

In this chapter we will talk about geometry on the tangent bundle \(\mathcal{T}\mathcal{M}\) equipped with Sasaki gradient metric and a paracomplex structure we study the integrability of the paracomplex and we calculate the tensor almost product connection which allows us to calculate the connection and torsion of almost product connection.