Geodesic
Tensor Fields and Connections on Cross-sections in the Frame Bundle of Second Order of a Parallelizable Manifold
Publications de l'Institut Mathématique, _N_S_43 (1988) no. 57, p. 143

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Let $V$ be a field of global frames on a parallelizable manifold. Then $V$ defines a cross-section in the frame bundle of second order $F^2M$ of $M$. The behaviour of the lifts of tensor fields and connections on $M$ to $F^2M$ along this cross-section is studied.
Classification : 53C 
@article{PIM_1988_N_S_43_57_a17,
     author = {Manuel De Leon and Modesto Salgado},
     title = {Tensor {Fields} and {Connections} on {Cross-sections} in the {Frame} {Bundle} of {Second} {Order} of a {Parallelizable} {Manifold}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {143 },
     publisher = {mathdoc},
     volume = {_N_S_43},
     number = {57},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1988_N_S_43_57_a17/}
}
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Manuel De Leon; Modesto Salgado. Tensor Fields and Connections on Cross-sections in the Frame Bundle of Second Order of a Parallelizable Manifold. Publications de l'Institut Mathématique, _N_S_43 (1988) no. 57, p. 143 . http://geodesic.mathdoc.fr/item/PIM_1988_N_S_43_57_a17/