3 ms·
> If the curvature were greater than 1, it would be "hyperbolic", meaning it would be infinite There are periodic (finite-volume, homogeneous) hyperbolic space
by jessriedel 8y ago
> If the curvature were greater than 1, it would be "hyperbolic", meaning it would be infinite
There are periodic (finite-volume, homogeneous) hyperbolic spaces.
Also, I think you can have infinite-volume spaces with positive curvature if they aren't homogeneous.