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Timeline for Flat Riemanniann manifolds

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Apr 15, 2010 at 20:48 comment added Sergei Ivanov No, the intrinsic metric is locally Euclidean, only the embedding into $\mathbb R^3$ is non-smooth. Consider folding a plane along a line - it is still a plane intrinsically.
Apr 15, 2010 at 20:15 comment added Qfwfq Concerning the polyhedral example: if you remove only the vertices from a surface, aren't you left with the "singularities" given by the edges?
Apr 15, 2010 at 19:52 history answered Sergei Ivanov CC BY-SA 2.5