Geodesic
Geometric Construction of the Levi-Civita Parallelism
Theory and applications of categories, Tome 4 (1998), pp. 195-207

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

In terms of synthetic differential geometry, we give a variational characterization of the connection (parallelism) associated to a pseudo-Riemannian metric on a manifold.

Classification : 18F99, 53B20, 58A03.
Keywords: quadratic differential form, affine connection, synthetic differential geometry. 
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     author = {Anders Kock},
     title = {Geometric {Construction} of the {Levi-Civita} {Parallelism}},
     journal = {Theory and applications of categories},
     pages = {195--207},
     publisher = {mathdoc},
     volume = {4},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1998_4_a8/}
}
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Anders Kock. Geometric Construction of the Levi-Civita Parallelism. Theory and applications of categories, Tome 4 (1998), pp. 195-207. http://geodesic.mathdoc.fr/item/TAC_1998_4_a8/