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On null cone preserving mappings

Published online by Cambridge University Press:  24 October 2008

J. A. Lester  and
M. A. McKiernan
J. A. Lester
Affiliation:
University of Waterloo, Ontario, Canada
M. A. McKiernan
Affiliation:
University of Waterloo, Ontario, Canada
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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 a ∈ M, then

for all a ∈ M.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 3 , May 1977 , pp. 455 - 462
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