First fundamental form
id:
first-fundamental-form-224-4743687
title:
First fundamental form
text:
In differential geometry, the first fundamental form is the inner product on the tangent space of a surface in three-dimensional Euclidean space which is induced canonically from the dot product of R. It permits the calculation of curvature and metric properties of a surface such as length and area in a manner consistent with the ambient space. The first fundamental form is denoted by the Roman numeral I, I = ⟨ x, y ⟩.
brand slug:
wiki
category slug:
encyclopedia
description:
Inner product of a surface in 3D, induced by the dot product
original url:
https://en.wikipedia.org/wiki/First_fundamental_form
date created:
2004-03-07T14:24:09Z
date modified:
2024-09-14T16:36:27Z
main entity:
{"identifier":"Q939725","url":"https://www.wikidata.org/entity/Q939725"}
image:
fields total:
13
integrity:
15