Definitions from Wiktionary (first fundamental form)
▸ noun: (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
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▸ noun: (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
Similar:
differential form,
Gauss-Codazzi equation,
pseudo-Riemannian manifold,
Darboux's theorem,
metric tensor,
Riemannian manifold,
varifold,
Riemannian geometry,
one-form,
curvature,
more...
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