On horizontal and complete lifts from a manifold withfλ(7, 1)‐structure to its cotangent bundle

“…Prasad [13] studied on the form F a (5, 1)−structure. Also F λ (7, 1)−structure extended in M n to T * (M n ) by L. S. Das, R. Nivas and V. N. Pathak [9]. In 1989, V. C. Gupta [10] studied on more generalized form F (K, 1)−structure satisfying F K + F = 0, where K is a positive integer 2.…”

Section: Introductionmentioning

confidence: 99%

On the Integrability Conditions and Operators of the F((K + 1),(K − 1))− Structure Satisfying F K+1 + F K−1 = 0, (F 6= 0, K 1 2) on Cotangent Bundle and Tangent Bundle

Das¹

2020

International Electronic Journal of Geometry

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This paper consists of two main sections. In the first part, we find the integrability conditions of the horizontal lifts of F ((K + 1), (K − 1))−structure satisfying F K+1 + F K−1 = 0, (F = 0, K 2). Later, we get the results of Tachibana operators applied to vector and covector fields according to the horizontal lifts of F ((K + 1), (K − 1))−structure in cotangent bundle T * (M n). Finally, we have studied the purity conditions of Sasakian metric with respect to the horizontal lifts of the structure. In the second part, all results obtained in the first section were obtained according to the complete and horizontal lifts of the structure in tangent bundle T (M n).

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On the Lifts of F(2K + S; S)-Structure Satisfying F^(2K+S) + F^S = 0; (F≠ 0; K≥ 0 ,S≥1 ) on Cotangent and Tangent Bundle

Çayir¹,

Jabrailzade²

2019

International Electronic Journal of Geometry

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This paper consists of two main sections. In the first part, we find the integrability conditions by calculating Nijenhuis tensors of the horizontal lifts of F (2K + S, S)−structure Satisfying F 2K+S + F S = 0. Later, we get the results of Tachibana operators applied to vector and covector fields according to the horizontal lifts of F (2K + S, S)−structure in cotangent bundle T * (M n). Finally, we have studied the purity conditions of Sasakian metric with respect to the horizontal lifts of the structure. In the second part, all results obtained in the first section were obtained according to the complete and horizontal lifts of F (2K + S, S)−structure in tangent bundle T (M n).

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On horizontal and complete lifts from a manifold withf_λ(7, 1)‐structure to its cotangent bundle

Cited by 4 publications

References 2 publications

On Complete, Horizontal and Vertical Lifts From a Manifold With fλ(6,4) Structure to Its Cotangent Bundle

On Complete, Horizontal and Vertical Lifts From a Manifold With fλ(6,4) Structure to Its Cotangent Bundle

On the Integrability Conditions and Operators of the F((K + 1),(K − 1))− Structure Satisfying F K+1 + F K−1 = 0, (F 6= 0, K 1 2) on Cotangent Bundle and Tangent Bundle

On the Lifts of F(2K + S; S)-Structure Satisfying F^(2K+S) + F^S = 0; (F≠ 0; K≥ 0 ,S≥1 ) on Cotangent and Tangent Bundle

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