关于曲面在一点邻近的结构研究

Research on proximity structure of curved surface

微分几何主要运用数学分析的理论,研究曲线或曲面在它一点邻域的性质。曲面上一点的邻近结构和曲面在一点的杜邦指标线密切相关,因此将二次曲线的一些基本理论与曲面的局部理论联系在一起,可以对曲面在一点附近的形状作一个大致地分析。

Differential geometry mainly uses analytic theories to study the kind of curve or curved surfaces at its proximity area.Proximity structure of curved surface is close ralated to the curved of Dupin index line,therefore,linking the basic theories of curved line with the curved surface,we can make an analysis on nearby shape about the curved surface.