Second fundamental form
In differential geometry, the second fundamental form (or shape tensor) is a quadratic form on the tangent plane of a smooth surface in the three-dimensional Euclidean space, usually denoted by (read "two"). 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.
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Second fundamental form
In differential geometry, the second fundamental form (or shape tensor) is a quadratic form on the tangent plane of a smooth surface in the three-dimensional Euclidean space, usually denoted by (read "two"). 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.
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En géométrie différentielle, l ...... ce d'une variété riemannienne.
@fr
In differential geometry, the ...... fold in a Riemannian manifold.
@en
Вторая квадратичная форма (или ...... гауссовой кривизн поверхности.
@ru
Друга квадратична форма в дифе ...... верхні в рімановому многовиді.
@uk
微分几何中，第二基本形式（second fundamenta ...... 曲面上，选取了一个光滑单位法向量场，则可定义这样一个二形式。
@zh
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En géométrie différentielle, l ...... ce d'une variété riemannienne.
@fr
In differential geometry, the ...... fold in a Riemannian manifold.
@en
Вторая квадратичная форма (или ...... гауссовой кривизн поверхности.
@ru
Друга квадратична форма в дифе ...... верхні в рімановому многовиді.
@uk
微分几何中，第二基本形式（second fundamenta ...... 曲面上，选取了一个光滑单位法向量场，则可定义这样一个二形式。
@zh
label
Second fundamental form
@en
Seconde forme fondamentale
@fr
Zweite Fundamentalform
@de
Вторая квадратичная форма
@ru
Друга квадратична форма
@uk
第二基本形式
@zh
제2 기본 형식
@ko