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Generalized linear connections on real manifolds

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Abstract

The concept of the Ötsuki generalized connection is explained using a direct approach based only on the bundle of linear frames of a manifold. Simple derivations of the generalized torsion and curvature forms are given. Covariant differentiation is also derived as a generalization of the classical one. A way to possible further generalizations is indicated.

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Smrz, P.K. Generalized linear connections on real manifolds. Gen Relat Gravit 24, 857–865 (1992). https://doi.org/10.1007/BF00759091

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