Loterre: Mathematics: flat manifold

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geometry > differential geometry > differentiable manifold > Riemannian manifold > flat manifold

topology > differential topology > differentiable manifold > Riemannian manifold > flat manifold

geometry > differential geometry > Riemannian geometry > Riemannian manifold > flat manifold

flat manifold

In mathematics, a Riemannian manifold is said to be flat if its Riemann curvature tensor is everywhere zero. Intuitively, a flat manifold is one that "locally looks like" Euclidean space in terms of distances and angles, e.g. the interior angles of a triangle add up to 180°.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Flat_manifold)

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