Hyperbolic geometry with Clifford algebra

被引：11

作者：

Li, HB

机构：

[1] Institute of Systems Science, Academia Sinica

来源：

ACTA APPLICANDAE MATHEMATICAE | 1997年 / 48卷 / 03期

基金：

中国国家自然科学基金;

关键词：

hyperbolic geometry; Clifford algebra; Gauss' equalities;

D O I：

10.1023/A:1005884731270

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Clifford algebra in D. Hestenes' formulation is used to study hyperbolic geometry and some interesting theorems are obtained. The computational power of this formulation is fully revealed by the ease of extending old results and discovering new ones. An important new result is the formulas on the area and perimeter of a convex polygon, based on extending Gauss' equalities.

引用

页码：317 / 358

页数：42