Peer-Reviewed journal indexed by Mathematical Reviews and Zentralblatt MATH.

Prolongation of Tensor Fields and G-Structures in Tangent Bundles of Second Order

Authors

Sahadat Ali

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.

Keywords and Phrases : GF-structure, Tensor bundle, Contact manifolds,

Received date : July 10, 2015

Accepted date: October 20, 2015

cited by: J.T.S. Vol. 9 (2015), pp.77-81

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