Spheres and hyperbolic spaces
نویسنده
چکیده
The group-invariant geometry on real and complex n-balls is hyperbolic geometry, in the sense that there are infinitely many straight lines (geodesics) through a given point not on a given straight line, thus contravening the parallel postulate for Euclidean geometry. We will not directly consider geometric notions, since the transitive group action determines structure in a more useful form. Still, this explains the terminology.
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