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first fundamental form

first fundamental form noun: 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.

Noun

first fundamental form (uncountable)

  1. (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
    • E=⃑x_u·⃑x_u
    • F=⃑x_u·⃑x_v

Questions about first fundamental form

What does first fundamental form mean?
First fundamental form means 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.
What part of speech is first fundamental form?
First fundamental form is a noun.

Words near first fundamental form in the dictionary

  1. first folios
  2. first footing
  3. first freedom rights
  4. First French Empire
  5. first fruits
  6. first fundamental form
  7. first gear
  8. first gears
  9. first gentleman
  10. first gentlemen
  11. first grade

Source and license

Adapted from Wiktionary: first fundamental form (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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