Torsion tensor
In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet–Serret formulas, for instance, quantifies the twist of a curve about its tangent vector as the curve evolves (or rather the rotation of the Frenet–Serret frame about the tangent vector). In the geometry of surfaces, the geodesic torsion describes how a surface twists about a curve on the surface. The companion notion of curvature measures how moving frames "roll" along a curve "without twisting".
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Torsion tensor
In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet–Serret formulas, for instance, quantifies the twist of a curve about its tangent vector as the curve evolves (or rather the rotation of the Frenet–Serret frame about the tangent vector). In the geometry of surfaces, the geodesic torsion describes how a surface twists about a curve on the surface. The companion notion of curvature measures how moving frames "roll" along a curve "without twisting".
has abstract
Der Torsionstensor ist ein mat ...... zur Geometrie und Gravitation.
@de
In differential geometry, the ...... orm of Einstein–Cartan theory.
@en
In geometria differenziale, la ...... sione che preserva la metrica.
@it
Tensor skręcenia – obiekt opisujący przekręcenie ramki poruszającej się wzdłuż krzywej.
@pl
在微分几何中，扭率或稱挠率此一概念是刻画沿着曲线移动的标架的 ...... 。在相对论中，这种想法以爱因斯坦-嘉当理论的形式提供了工具。
@zh
微分幾何学では、捩れ(torsion)とは、曲線に関する動標 ...... artan theory)の形で、理論の中に実現されている。
@ja
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comment
Der Torsionstensor ist ein mat ...... zur Geometrie und Gravitation.
@de
In differential geometry, the ...... ng a curve "without twisting".
@en
In geometria differenziale, la ...... sione che preserva la metrica.
@it
Tensor skręcenia – obiekt opisujący przekręcenie ramki poruszającej się wzdłuż krzywej.
@pl
在微分几何中，扭率或稱挠率此一概念是刻画沿着曲线移动的标架的 ...... 。在相对论中，这种想法以爱因斯坦-嘉当理论的形式提供了工具。
@zh
微分幾何学では、捩れ(torsion)とは、曲線に関する動標 ...... 式とすると、捩れテンソルは、ベクトル場 X と Y により、
@ja
label
Tensor skręcenia
@pl
Torsion tensor
@en
Torsione (geometria differenziale)
@it
Torsionstensor
@de
扭率張量
@zh
捩れテンソル
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