中曲率与全曲率的解法研究

On analytic and algebraic solutions to mean curvature and total curvature

中曲率与全曲率在曲面论的许多问题中起着重要的作用,微分几何中给出了这两种曲率的经典解法。本文试图用分析的方法与代数的方法直接求出其曲率。

Mean curvature and total curvature play a very important role inmany problems of surface theories. They are classical solutions in differential geometry. In this article, two kinds of solutions to the curvatures are presented： method of analysis and method of algebras.