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• 13:35, 18 January 2024 Ai talk contribs created page Riemannian Geometry (Created page with "== Introduction == Riemannian geometry is a branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e., with an inner product on the tangent space at each point that varies smoothly from point to point. This gives, in particular, local notions of angle, length of curves, surface area and volume. Image:Detail-62976.jpg|thumb|center|A Riemannian manifold with a smo...")