Geodesic
Higher order Cartan connections
Archivum mathematicum, Tome 32 (1996) no. 4, pp. 343-354

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A Cartan connection associated with a pair $P(M,G^{\prime })\subset P(M,G)$ is defined in the usual manner except that only the injectivity of $\omega :T(P^{\prime })\rightarrow T(G)_{e}$ is required. For an $r$-th order connection associated with a bundle morphism $\Phi :P^{\prime }\rightarrow P$ the concept of Cartan order $q\le r$ is defined, which for $q=r=1, \Phi :P^{\prime }\subset P$, and $\dim {M}=\dim {G/G^{\prime }}$ coincides with the classical definition. Results are obtained concerning the Cartan order of $r$-th order connections that are the product of $r$ first order (Cartan) connections.
Classification : 53C05, 58A20
Keywords: non-holonomic jets and connections; semi-holonomic jets and connections; higher order relative; straight and Cartan connections 
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     author = {Virsik, George},
     title = {Higher order {Cartan} connections},
     journal = {Archivum mathematicum},
     pages = {343--354},
     publisher = {mathdoc},
     volume = {32},
     number = {4},
     year = {1996},
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     zbl = {0881.53014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1996__32_4_a8/}
}
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Virsik, George. Higher order Cartan connections. Archivum mathematicum, Tome 32 (1996) no. 4, pp. 343-354. http://geodesic.mathdoc.fr/item/ARM_1996__32_4_a8/