"Everyone" knows what an affine connection on a smooth manifold is a.k.a. covariant derivative. My questions are:(adsbygoogle = window.adsbygoogle || []).push({});

i) Why are those connections called affine?

ii) Is there a mathematical object that 'connects neighboring tangent spaces', that could be termed a 'non-affine connection'?

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# Non-affine Connections

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