请输入您要查询的字词:

 

单词 Geodesic Curvature
释义

Geodesic Curvature

For a unit speed curve on a surface, the length of the surface-tangential component of acceleration is the geodesiccurvature . Curves with are called Geodesics. For a curve parameterizedas , the geodesic curvature is given by



where , , and are coefficients of the first Fundamental Form and are Christoffel Symbols of the Second Kind.

See also Geodesic


References

Gray, A. ``Geodesic Curvature.'' §20.5 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 402-407, 1993.


随便看

 

数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/4/5 8:44:46