球面闭曲线和Jacobi定理

On the Closed Spherical Curves and Jacobi Theorem

回答了W.Fenchel所提出的一个问题.给出球面闭曲线的一个整体性质,并用以推广关于空间闭曲线的Jacobi定理.

An answer to the problem formulated by W. Fenchel[1] is obtained. A global property of spherical curves is given and applied to generalize Jacobi theorem on closed space curves.