摘要
本文研究了R3中相交子流形的不变量.利用活动标架法,得出了一个类似的欧拉公式.即两曲面交线的挠率可以用两曲面的测地挠率、法曲率及两曲面的夹角表示.
We investigate invariants of the intersection of submanifolds of R^3. We obtain an analogue of Euler formula by using the method of moving frames. The torsion of the intersection curve of two surfaces in R^3 can be expressed by geodesic torsions, normal curvatures and the angle between surfaces.
出处
《数学杂志》
CSCD
北大核心
2008年第2期119-123,共5页
Journal of Mathematics
基金
The Scientific Research Grant of Guizhou Province of China
关键词
曲率
挠率
法曲率
测地曲率
测地挠率
curvaturet torsion
normal eurvature
geodesic curvaturet geodesic torsion
