@Scraper.
Not exactly. But you could say so.
The geometry of space in our universe depends on a constant Ω.
- If the curvature is zero, then Ω = 1, and the Pythagorean theorem is correct;
- If Ω > 1, there is positive curvature;
- Ιf Ω < 1 there is negative curvature.
Possible Local Geometries:
- 3-dimensional Flat Euclidean geometry, generally notated as E^3
- 3-dimensional spherical geometry with a small curvature, often notated as S^3
- 3-dimensional hyperbolic geometry with a small curvature
Possible Global Geometries:
A spherical universe is possible.
It is clearer in this image:
We don't really know for sure yet.
(Bridge referred to the positive curvature)
Sources:
http://en.wikipedia.org/wiki/Shape_of_the_Universe