Geodesic
On lifts of basic differential geometric objects to the tangent bundle of order $k$
Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 24 (2003), pp. 179-186
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We find explicit formulas for effective calculation of components of lifts of differential geometric objects into the tangent bundle of order $k$. 
@article{KUTGS_2003_24_a16,
     author = {E. P. Shustova},
     title = {On lifts of basic differential geometric objects to the tangent bundle of order~$k$},
     journal = {Trudy Geometricheskogo Seminara},
     pages = {179--186},
     year = {2003},
     volume = {24},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/KUTGS_2003_24_a16/}
}
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E. P. Shustova. On lifts of basic differential geometric objects to the tangent bundle of order $k$. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 24 (2003), pp. 179-186. http://geodesic.mathdoc.fr/item/KUTGS_2003_24_a16/