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Differentiable manifold. History of manifolds and varieties, Carl Friedrich Gauss, Bernhard Riemann, General relativity, Christoffel symbols, Riemannian geometry, Differential geometry, Affine connection, Introduction to mathematics of general relativity, Space (mathematics), Homeomorphism, Diffeomorphism, Elliptic geometry, Elliptic integral, Elliptic function, Hyperbolic geometry, Euclidean space, Lagrangian mechanics, Hamiltonian mechanics