On the existence of connections with a prescribed skew-symmetric Ricci tensor

Jan Kurek, Włodzimierz Mikulski

Abstract


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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References


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Kobayashi, S., Nomizu, K., Foundation of Differential Geometry, Vol. I, J. Wiley-Interscience, New York, 1963.

Opozda, B., Mikulski, W. M., The Cauchy-Kowalevski theorem applied for counting connections with a prescribed Ricci tensor, Turkish J. Math. 42 (2) (2018), 528-536.




DOI: http://dx.doi.org/10.17951/a.2018.72.2.37
Date of publication: 2018-12-22 22:03:12
Date of submission: 2018-12-21 22:26:47


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