Geodesic
How many are equiaffine connections with torsion
Archivum mathematicum, Tome 51 (2015) no. 5, pp. 265-271

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The question how many real analytic equiaffine connections with arbitrary torsion exist locally on a smooth manifold $M$ of dimension $n$ is studied. The families of general equiaffine connections and with skew-symmetric Ricci tensor, or with symmetric Ricci tensor, respectively, are described in terms of the number of arbitrary functions of $n$ variables.
DOI : 10.5817/AM2015-5-265
Classification : 35A10, 35F35, 35G50, 35Q99
Keywords: affine connection; Ricci tensor; Cauchy-Kowalevski Theorem 
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Dušek, Zdeněk; Kowalski, Oldřich. How many are equiaffine connections with torsion. Archivum mathematicum, Tome 51 (2015) no. 5, pp. 265-271. doi: 10.5817/AM2015-5-265

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