Alternative Equations for Horizontal Lifts of the Metallic Structures from Manifold onto Tangent Bundle

Mohammad Nazrul Islam Khan, Majid Ali Choudhary, Sudhakar K. Chaubey and Antonio Masiello

Journal of Mathematics, 2022, vol. 2022, 1-8

Abstract: We explore “the horizontal lift†of the structure J satisfying J2−αJ−βI=0 and establish that it as a kind of metallic structure. An analysis of Nijenhuis tensor of metallic structure JH is presented, and a new tensor field J˜ of 1,1-type is introduced and demonstrated to be metallic structure. Some results on the Nijenhuis tensor and the Lie derivative of J˜ in TM are proved and explicit examples are given. Moreover, the metallic structure J˜ endowed with projection operators l˜ and m˜ in TM is studied.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5037620

DOI: 10.1155/2022/5037620

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