Venkatesh Rao@vgrMath question: are riemannian geometries necessarily finite and bounded like a sphere? Or can you have infinite ones as with Euclidean or hyperbolic?4:28 PM · Oct 8, 20221 Retweet4 Likes
\@ugherm_·Oct 8, 2022Replying to @vgrThe terms "Euclidean" and "hyperbolic" are downstream of a riemannian metric. The curvature of the riemannian metric being 0 or negative defines Euclidean or hyperbolic respectively. So yes you can have non compact Riemannian geometries. 1/14