Does anyone know where I can find a good introduction to Minkowski geometry? It would be greatly appreciated.

What sorts of questions do you have? I mean---Minkowski geometry is pretty dull.

I would point you to a book by Nakahara called "Geometry, Topology, and Physics", or a paper by Eguchi, Gilkey and Hanson, whose name escapes me. These are the references I use when I have questions about geometry.

Unfortunately, however, most people here are not in the habits of filling out their profiles with useful information, so I don't know if these references will be useful to you.