• 제목/요약/키워드: almost paracomplex structure

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SASAKIAN METRICS, INTEGRABILITY CONDITIONS AND OPERATORS ON COTANGENT BUNDLE

  • CAYIR, Hasim
    • 호남수학학술지
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    • 제40권4호
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    • pp.749-763
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    • 2018
  • In this paper firstly, It was studied almost paraholomorphic vector field with respect to almost para-Nordenian structure ($F^S$, g) and the purity conditions of the Sasakian metric is investigate with respect to almost para complex structure F on cotangent bundle. Secondly, we obtained the integrability conditions of almost paracomplex structure F by calculating the Nijenhuis tensors of F of type (1, 1) on $^CT(M_n)$. Finally, the Tachibana operator ${\phi}_{\varphi}$ applied to $^Sg$ according to F and the Vishnevskii operators (${\psi}_{\varphi}$-operator) applied to the vertical and horizontal lifts with respect to F on cotangent bundle.