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arXiv 1502.01149math.RAmath-phmath.MP
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Continuous space-time transformations

Clément de Seguins Pazzis, Peter Šemrl

英文摘要:

We 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. In the presence of the continuity assumption the main tool in the proof is a basic result from the homotopy theory of spheres.

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