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Connections of Higher Order and Product Preserving Functors |
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| Authors: | Jacek Gancarzewicz Noureddine Rahmani Modesto Salgado |
| Affiliation: | (1) Instytut Matematyki UJ, ul. Reymonta 4, 30-059 Kraków, Pologne;(2) Institute de Mathematiques Appliques et Informatique, USTO, Oran, Algérie;(3) Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela, Espagne |
| Abstract: | In this paper we consider a product preserving functor F of order r and a connection  of order r on a manifold M. We introduce horizontal lifts of tensor fields and linear connections from M to F(M) with respect to . Our definitions and results generalize the particular cases of the tangent bundle and the tangent bundle of higher order. |
| Keywords: | connections of higher order product preserving functors lifts of tensors and connections |
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