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Article

Dušek, Zdeněk ; Kowalski, Oldřich
How many are equiaffine connections with torsion. (English). Archivum Mathematicum, vol. 51 (2015), issue 5, pp. 265-271
MSC: 35A10, 35F35, 35G50, 35Q99 | MR 3449107 | Zbl 06537729 | DOI: 10.5817/AM2015-5-265
Keywords:
affine connection; Ricci tensor; Cauchy-Kowalevski Theorem
Summary:
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.
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