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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 4, Pages 84–86 (Mi smj1631)  
Uniqueness of Abelian affine chronogeometry

A. K. Guts
Full-text PDF (316 kB)
Abstract: We show that the axiomatic theory of pseudo-Euclidean geometry based on a partial order invariant under an Abelian group of trasformations is unique to within different realizations of the group as a group of affine transformations whose action is simply transitive on an affine space. Consequently, affine interpretation for the special theory of relativity is unique.
Received: 16.04.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 4, Pages 666–668
DOI: https://doi.org/10.1007/BF00975168
Bibliographic databases:
UDC: 513.82
Language: Russian
Citation: A. K. Guts, “Uniqueness of Abelian affine chronogeometry”, Sibirsk. Mat. Zh., 34:4 (1993), 84–86; Siberian Math. J., 34:4 (1993), 666–668
Citation in format AMSBIB
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\by A.~K.~Guts
\paper Uniqueness of Abelian affine chronogeometry
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 4
\pages 84--86
\mathnet{http://mi.mathnet.ru/smj1631}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1248792}
\zmath{https://zbmath.org/?q=an:0816.53057}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 4
\pages 666--668
\crossref{https://doi.org/10.1007/BF00975168}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MA84100011}
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    		Сибирский математический журнал Siberian Mathematical Journal
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