Geodesic
On the existence of connections with a prescribed skew-symmetric Ricci tensor
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 72 (2018) no. 2.

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We study the so-called inverse problem. Namely, given a prescribed skew-symmetric Ricci tensor we find (locally) a respective linear connection.
Keywords: Linear connection, Ricci tensor 
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Kurek, Jan; Mikulski, Włodzimierz. On the existence of connections with a prescribed skew-symmetric Ricci tensor. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 72 (2018) no. 2. http://geodesic.mathdoc.fr/item/AUM_2018_72_2_a4/

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