球面闭曲线全挠率定理的证明及推广

A PROOF AND GENERALIZATION FOR THE THEOREM OF TOTAL TORSION OF CLOSED SPHERICAL CURVE

本文给出了关于全挠率的一个著名定理:“球面闭曲线的全挠率为零”一个新的简单证法,并且给出了这个定理的两个推广定理.

A new and simple proving method on the famous theorem of total torsion, 'The total torsion of closed spherical curve is zero', and two generalized theorems for the.theorem are presented in the paper.