9 Oct
2003
9 Oct
'03
7:03 p.m.
When this idea is applied to hyperbolic space, we get a finite universe with negative curvature. Such a possibility seems not to have been noticed by early cosmologists; I remember from a long time ago that the universe was supposed to be either finite and of positive curvature, or infinite and of zero or negative curvature.
Even once the idea did come up cosmologists have muddled the manifold part. I think there was a paper at some point called "Open Compact Models." --Michael Kleber kleber@brandeis.edu