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Matematicheskie Trudy, 2015, Volume 18, Number 1, Pages 15–26
DOI: https://doi.org/10.17377/mattrudy.2015.18.102 (Mi mt284) 		 
The structure of similarity homogeneous locally compact spaces with an intrinsic metric. II

I. A. Gundyrev

Omsk State University, Omsk, Russia
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DOI: https://doi.org/10.17377/mattrudy.2015.18.102
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 suggest an algebraic characterization of such spaces.
Key words: similarity homogeneous space, group of similarities, conformally equivalent space, homogeneous space, group of isometries, intrinsic metric, Busemann metric, topological groups.
Received: 24.07.2014
English version:
Siberian Advances in Mathematics, 2016, Volume 26, Issue 3, Pages 182–189
DOI: https://doi.org/10.3103/S1055134416030020
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. II”, Mat. Tr., 18:1 (2015), 15–26; Siberian Adv. Math., 26:3 (2016), 182–189
Citation in format AMSBIB
\Bibitem{Gun15}
\by I.~A.~Gundyrev
\paper The structure of similarity homogeneous locally compact spaces with an intrinsic metric.~II
\jour Mat. Tr.
\yr 2015
\vol 18
\issue 1
\pages 15--26
\mathnet{http://mi.mathnet.ru/mt284}
\crossref{https://doi.org/10.17377/mattrudy.2015.18.102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408442}
\elib{https://elibrary.ru/item.asp?id=23419032}
\transl
\jour Siberian Adv. Math.
\yr 2016
\vol 26
\issue 3
\pages 182--189
\crossref{https://doi.org/10.3103/S1055134416030020}
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