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On null cone preserving mappings

Published online by Cambridge University Press:  24 October 2008

J. A. Lester
Affiliation:
University of Waterloo, Ontario, Canada
M. A. McKiernan
Affiliation:
University of Waterloo, Ontario, Canada

Extract

Alexandrov (1), Zeeman (3) and others after them have investigated at length the problem of characterizing as Lorentz transformations those mappings f of Minkowski space M which ‘preserve cones’, i.e. if C(a) denotes the null-cone in M with vertex aM, then

for all aM.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

REFERENCES

(1)Alexandrov, A. D.A contribution to chronogeometry. Canad. J. Math. 19 (1967), 1119.CrossRefGoogle Scholar
(2)Borchers, H. J. and Hegerfeldt, G. C.The structure of space–time transformations. Comm. Math. Phys. 28 (1972), 259.CrossRefGoogle Scholar
(3)Zeeman, E. C.Causality implies the Lorentz group. J. Math. Phys. 5 (1964), 490.CrossRefGoogle Scholar