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Connections with Skew-Symmetric Ricci Tensor on Surfaces

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Abstract.

Some known results on torsionfree connections with skew-symmetric Ricci tensor on surfaces are extended to connections with torsion, and Wong’s canonical coordinate form of such connections is simplified.

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Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, Columbus, OH, 43210, USA

    Andrzej Derdzinski

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  1. Andrzej Derdzinski
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Correspondence to Andrzej Derdzinski.

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Dedicated to Professor Udo Simon on the occasion of his 70th birthday

Received: February 20, 2008.

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Derdzinski, A. Connections with Skew-Symmetric Ricci Tensor on Surfaces. Result. Math. 52, 223–245 (2008). https://doi.org/10.1007/s00025-008-0307-3

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  • DOI: https://doi.org/10.1007/s00025-008-0307-3

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