Geodesic
Classical differential geometry with Christoffel symbols of Ehresmann $\varepsilon $-connections
Archivum mathematicum, Tome 34 (1998) no. 2, pp. 229-237.

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We give a method based on an idea of O. Veblen which gives explicit formulas for the covariant derivatives of natural objects in terms of the Christoffel symbols of a symmetric Ehresmann $\varepsilon $-connection.
Classification : 53A55, 53C05
Keywords: covariant differentiation; Christoffel symbols 
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     author = {Orta\c{c}gil, Erc\"ument},
     title = {Classical differential geometry with {Christoffel} symbols of {Ehresmann} $\varepsilon $-connections},
     journal = {Archivum mathematicum},
     pages = {229--237},
     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {1998},
     mrnumber = {1645308},
     zbl = {0910.53006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_2_a1/}
}
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Ortaçgil, Ercüment. Classical differential geometry with Christoffel symbols of Ehresmann $\varepsilon $-connections. Archivum mathematicum, Tome 34 (1998) no. 2, pp. 229-237. http://geodesic.mathdoc.fr/item/ARM_1998__34_2_a1/