first fundamental form
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(differential geometry) the Riemannian metric for 2-dimensional manifolds, i.e. given a surface with regular parametrization x(u,v), the first fundamental form is a set of three functions, {E, F, G}, dependent on u and v, which give information about local intrinsic curvature of the surface. These functions are given by
first fundamental form
In differential geometry, the first fundamental form of a surface with a regular parametrization x(u,v) is the Riemannian metric given by three functions E(u,v), F(u,v), and G(u,v) that determine the surface's local intrinsic curvature.
In differential geometry, the first fundamental form of a surface with a regular parametrization x(u,v) is the Riemannian metric given by three functions E(u,v), F(u,v), and G(u,v) that determine the surface's local intrinsic curvature.
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