Talk:Flat manifold

From Wikipedia, the free encyclopedia
Jump to: navigation, search

The sentence "Bieberbach's theorem states that all compact flat manifolds are tori." is flatly wrong. For example, the Klein bottle admits a flat metric, is compact, and is not a torus. I'll try to find a book that contains the correct statement -- it seems hard to find online! best, Sam nead (talk) 01:50, 25 January 2009 (UTC)

Fixed. Sam nead (talk) 02:02, 25 January 2009 (UTC)

The projective plane is not a flat manifold. best, Sam nead (talk) 23:31, 2 February 2009 (UTC)