2005•Journal of Northeast Normal UniversityRequires access

The four-dimensional hyperbolic compalex space Lorentz group

Qingcheng Zhang

Abstract

AbstrcatThis paper introduces the concepts of two-dimensional hyperbolic complex space(hyperbolic complex plane),four-dimensional complex space etc.By using hyperbolic imaginary unit of Clifford algebra using for discussing some connected problems about two-dimensional Minkowski space(Minkowski plane),four-dimensional Minkowski spacetime and Lorentz group.

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Available abstract

Key concepts: Minkowski space, Hyperboloid model, Lorentz transformation, Lorentz group, Hyperbolic coordinates, Relatively hyperbolic group, Hyperbolic space, Hyperbolic geometry