摘要
文章在黎曼曲率张量的概念和性质的基础上通过论证黎曼曲率张量可以只用第一基本形式的系数来表示,从而把高斯曲率这个概念推广到比曲面更一般的二维黎曼空间中,使高斯曲率的运用范围更广.
Based on the concept and characteristics of Riemann curvature tensor,the paper argues that the Riemannian curvature tensor can be expressed through the use of the basic forms,so that the concept of Gauss curvature will be able to be used in the two-dimensinal Riemann space,which is more general than the curved surface.And as a consequence,the Gauss curvature will be used in a wider range.
出处
《太原师范学院学报（自然科学版）》
2010年第3期46-48,共3页
Journal of Taiyuan Normal University:Natural Science Edition
