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Hey guys, I'm looking for a good treatment (good = concise, and clear) of affine geometry. Connections, parallel transport, etc. I'm looking for this from a mathematical P.O.V. Most of the differential geometry books I have deal only with the exterior forms, and general manifolds without this added structure. The GR books I have deal with this, but always with an assumed symmetric connection (no torsion), and they tend to go at it from a physicist's point of view.
I'm not looking for anything too rigorous (by too rigorous, I mean, like at the level of a tome for professional mathematicians, I'm not looking to read 600+ pages about this material), but rigorous enough so that I'll have a good foot hold in this topic.
Any suggestions? Thanks.
I'm not looking for anything too rigorous (by too rigorous, I mean, like at the level of a tome for professional mathematicians, I'm not looking to read 600+ pages about this material), but rigorous enough so that I'll have a good foot hold in this topic.
Any suggestions? Thanks.