摘要
本文讨论了空间正则闭曲线的3种球面映射象的全曲率之间的关系,即曲线的切映射象T与其副法映射象B有相同的全曲率,它们都等于曲线的主法映射象N的长度,同时还证明了曲线的全绝对挠率等于曲线副法映射象的长度。
This article discusses the relations of three kinds of total curvatures of spnericcat mapping image for space regular closed curve, i. e., the tangential mapping image T and the binormal mapping image B of the curve have the same total curvature which equals the length of spherical normal mapping image N.In this paper, the author also proves that the total absolute curvature of torsion of the curve equals the length of binormal mapping image of the curve.
关键词
空间闭曲线
球面映射
全曲率
closed space curve, spherical mapping, total curvature.
