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Matematicheskie Trudy, 2014, Volume 17, Number 2, Pages 132–141 (Mi mt280)  
This article is cited in 1 scientific paper (total in 1 paper)

The structure of similarity homogeneous locally compact spaces with an intrinsic metric

I. A. Gundyrev

Omsk State University, Omsk, Russia
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Abstract: We study locally compact spaces with an intrinsic metric such that the group of metric similarities is transitive and the group of isometries is not transitive. We confirm Berestovskiǐ's conjecture on the structure of such spaces.
Key words: similarity homogeneous space, group of similarities, conformally equivalent space, homogeneous space, group of isometries, intrinsic metric, Busemann metric.
Received: 08.11.2013
English version:
Siberian Advances in Mathematics, 2015, Volume 25, Issue 1, Pages 33–38
DOI: https://doi.org/10.3103/S1055134415010046
Bibliographic databases:
Document Type: Article
UDC: 513.813+519.46+517.982
Language: Russian
Citation: I. A. Gundyrev, “The structure of similarity homogeneous locally compact spaces with an intrinsic metric”, Mat. Tr., 17:2 (2014), 132–141; Siberian Adv. Math., 25:1 (2015), 33–38
Citation in format AMSBIB
\Bibitem{Gun14}
\by I.~A.~Gundyrev
\paper The structure of similarity homogeneous locally compact spaces with an intrinsic metric
\jour Mat. Tr.
\yr 2014
\vol 17
\issue 2
\pages 132--141
\mathnet{http://mi.mathnet.ru/mt280}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3330054}
\transl
\jour Siberian Adv. Math.
\yr 2015
\vol 25
\issue 1
\pages 33--38
\crossref{https://doi.org/10.3103/S1055134415010046}
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