非欧空间中双基本图形的度量方程及其应用

The Metric Equations of Bifundamental Figurate in Non-Euclidean Space

本文提出了ｎ维球面型空间和双曲空间中双基本图形的概念，建立了球面型空间与 双曲空间中双基图形的度量方程，并给出度量方程的一些应用．

In this paper, the author gave a concept for bifundamental figurates in non-Eu- clidean space. The metric equations for bifundamental figurates in spherical space and hyper- bolic space are established. As spacial case, we get the metric equations for fundamental fig- urates in spherical space and hyperbolic space. Besides, we gave some applications of the metric equations for fundamental figurates in spherical space and hyperbolic space.