Prolongation of Tensor Fields and G-Structures in Tangent Bundles of Second Order
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Abstract
Tangent and cotangent bundles have been defined and studied by Yano, Ishihara, Patterson and others. Duggal gives the notion of GF-structure, which
plays an important role in the differentiable manifold [1]. R. Nivas and Ali
have studied the existence of GF-structure and generalized contact structure on the tangent bundle and some interesting results have been obtained for such structures [2]. Prolongation of tensor fields, almost complex and almost product structures have been defined and studied by Yano, Ishihara [3] and others whereas Das [4] and Morimoto [5] have studied the prolongation of F-structure and G-structures respectively to the tangent bundles. In the present paper problems of prolongation in tangent bundle of second order and few results on GF, fa(3, −1) and generalized contact structures have been discussed.
plays an important role in the differentiable manifold [1]. R. Nivas and Ali
have studied the existence of GF-structure and generalized contact structure on the tangent bundle and some interesting results have been obtained for such structures [2]. Prolongation of tensor fields, almost complex and almost product structures have been defined and studied by Yano, Ishihara [3] and others whereas Das [4] and Morimoto [5] have studied the prolongation of F-structure and G-structures respectively to the tangent bundles. In the present paper problems of prolongation in tangent bundle of second order and few results on GF, fa(3, −1) and generalized contact structures have been discussed.
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Ali, S. (2015). Prolongation of Tensor Fields and G-Structures in Tangent Bundles of Second Order. Journal of the Tensor Society, 9(01), 77-81. https://doi.org/10.56424/jts.v9i01.10563
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