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Apr 26, 2012 at 16:36 comment added Daniele Zuddas @Nikita: locally flat is a purely topological notion, not related with curvature. Roughly speaking, a submanifold is locally flat if admits a tubular neighborhood in the ambient manifold.
Apr 26, 2012 at 16:27 comment added Nikita Kalinin How did you define flatness (curvature) in a non-smooth manifold?
Apr 26, 2012 at 11:40 history asked Daniele Zuddas CC BY-SA 3.0