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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.
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참고문헌 (16)
참고문헌 신청
M. A. Akyol / 2016 / Conformal anti-invariant submersions from almost Hermitian manifolds / Turkish Journal of Mathematics 40:43~70
H. C ay r / 2015 / Some Notes on Lifts of Almost Paracontact Structures / American Review of Mathematics and Statistics 3(1):52~60
H. C ay r / 2016 / Lie derivatives of almost contact structure and almost paracontact structure with respect to XV and XH on tangent bundle T(M) / Proceedings of the Institute of Mathematics and Mechanics 42(1):38~49
H. C ay r / 2016 / Tachibana and Vishnevskii Operators Applied to XV and XC in Almost Paracontact Structure on Tangent Bundle T(M) / Ordu Universitesi Bilim ve Teknoloji Dergisi 6(1):67~82
H. C ay r / 2016 / Tachibana and Vishnevskii Operators Applied to XV and XH in Almost Paracontact Structure on Tangent Bundle T(M) / New Trends in Mathematical Sciences 4(3):105~115
H. C ay r / 2015 / Some Notes on Lifts of Almost Paracontact Structures / American Review of Mathematics and Statistics 3(1):52~60
H. C ay r / 2016 / Lie derivatives of almost contact structure and almost paracontact structure with respect to XV and XH on tangent bundle T(M) / Proceedings of the Institute of Mathematics and Mechanics 42(1):38~49
H. C ay r / 2016 / Tachibana and Vishnevskii Operators Applied to XV and XC in Almost Paracontact Structure on Tangent Bundle T(M) / Ordu Universitesi Bilim ve Teknoloji Dergisi 6(1):67~82
H. C ay r / 2016 / Tachibana and Vishnevskii Operators Applied to XV and XH in Almost Paracontact Structure on Tangent Bundle T(M) / New Trends in Mathematical Sciences 4(3):105~115
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