Geodesic
Nonlinear $(n-1)^p$-connections in metric Cartan spaces of higher order
Matematičeskie zametki, Tome 11 (1972) no. 4, pp. 447-458.

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Structures of higher order determined on a manifold $V_n$ by a differential form of degree $n--1$, which depends on a tangential $(n-1)^p$-element, are considered. The associated nonlinear and linear connections in the corresponding principal fibrations are studied. (See [3] for terminology.) 
@article{MZM_1972_11_4_a11,
     author = {L. E. Evtushik},
     title = {Nonlinear $(n-1)^p$-connections in metric {Cartan} spaces of higher order},
     journal = {Matemati\v{c}eskie zametki},
     pages = {447--458},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_4_a11/}
}
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L. E. Evtushik. Nonlinear $(n-1)^p$-connections in metric Cartan spaces of higher order. Matematičeskie zametki, Tome 11 (1972) no. 4, pp. 447-458. http://geodesic.mathdoc.fr/item/MZM_1972_11_4_a11/