Hyperbolic conformal geometry with Clifford algebra

被引：5

作者：

Li, HB ^{[1
]}

机构：

[1] Acad Math & Syst Sci, Acad Sinica, Beijing 100080, Peoples R China

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2001年 / 40卷 / 01期

关键词：

Field Theory; Elementary Particle; Quantum Field Theory; Linear Space; Conformal Transformation;

D O I：

10.1023/A:1003775025457

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study hyperbolic conformal geometry following a Clifford algebraic approach. Similar to embedding an affine space into a one-dimensional higher linear space, we embed the hyperboloid model of the hyperbolic n-space in R-n,R-1 into R-n+1,R-1. The model is convenient for the study of hyperbolic conformal properties. Besides investigating various properties of the model, we also study conformal transformations using their versor representations.

引用

页码：81 / 93

页数：13

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