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A characterization of plane Lorentz transformations

Research paper by Walter Benz

Indexed on: 01 Mar '77Published on: 01 Mar '77Published in: Journal of Geometry



Abstract

Denote (xi,yi=cti), i=1,2, by Xi and (x2−x1)2−(y2−y1)2 by F(X1,X2). Then our result is the following: Given a fixed real number ρ ≠ 0 and given a bijection σ of M=IR2 such that F(X1,X2) = ρ iff F(Xin1suσ,in2suσ) =p for all X1, X2 ε M. Then σ must be a Lorentz transformation (time reversal and inhomogeneity included).