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Continuous space-time transformations

Continuous space-time transformations AbstractWe prove that every continuous map acting on the four-dimensional Minkowski space and preserving light cones in one direction only is either a Poincaré similarity, that is, a product of a Lorentz transformation and a dilation, or it is of a very special degenerate form. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Geometry de Gruyter

Continuous space-time transformations

Pazzis, Clément de Seguins; Šemrl, Peter
Advances in Geometry , Volume 18 (3): 9 – Jul 26, 2018
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9 pages

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH Berlin/Boston
ISSN
1615-7168
eISSN
1615-7168
DOI
10.1515/advgeom-2017-0056
Publisher site
See Article on Publisher Site

Abstract

AbstractWe prove that every continuous map acting on the four-dimensional Minkowski space and preserving light cones in one direction only is either a Poincaré similarity, that is, a product of a Lorentz transformation and a dilation, or it is of a very special degenerate form.

Journal

Advances in Geometry – de Gruyter

Published: Jul 26, 2018

References

  • Characterizing the conformality in a Minkowski space
  • Causality implies the Lorentz group
  • Seminar Report
  • On null cone preserving mappings
  • Mappings of spaces with families of cones and space-time transformations