Second fundamental form
id:
second-fundamental-form-308-9608267
title:
Second fundamental form
text:
In differential geometry, the second fundamental form is a quadratic form on the tangent plane of a smooth surface in the three-dimensional Euclidean space, usually denoted by I I . Together with the first fundamental form, it serves to define extrinsic invariants of the surface, its principal curvatures. More generally, such a quadratic form is defined for a smooth immersed submanifold in a Riemannian manifold.
brand slug:
wiki
category slug:
encyclopedia
description:
Quadratic form related to curvatures of surfaces
original url:
https://en.wikipedia.org/wiki/Second_fundamental_form
date created:
date modified:
2024-01-18T20:34:50Z
main entity:
{"identifier":"Q233220","url":"https://www.wikidata.org/entity/Q233220"}
image:
fields total:
13
integrity:
14