Split-Quaternionic Representation of the Moving Frame for Timelike Surfaces in 3-Dimensional Minkowski Spacetime | Science Publications

Journal of Mathematics and Statistics

Paul Bracken¹ 

关键词: Split-quaternions;    Lax pair;    Gauss-Codazzi equation;   

DOI  :  10.3844/jmssp.2010.56.59

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

The moving frame and associated Gauss-Codazzi equations for surfaces in Minkowski three space are introduced. A split-quaternionic representation is used to identify the Gauss-Weingarten equations with a Lax pair representation. This Lax pair representaion is calculated and given explicitly.

【 授权许可】

Unknown