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 . 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 . Prolongation of tensor fields, almost complex and almost product structures have been defined and studied by Yano, Ishihara  and others whereas Das  and Morimoto  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