“Darboux Vector”的概念、定义、习题解题方法及翻译-数学辞典

单词

Darboux Vector

释义

Darboux Vector

The rotation Vector of the Trihedron of a curve with Curvature when a point movesalong a curve with unit Speed. It is given by

(1)

where

is the Torsion, T the Tangent Vector, and Bthe Binormal Vector. The Darboux vector field satisfies

See also Binormal Vector, Curvature, Tangent Vector, Torsion (Differential Geometry)

References

Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, p. 151, 1993.

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