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

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 Berestovskiĭ’s conjecture on the structure of such spaces.

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Veröffentlicht in:Siberian advances in mathematics 2015, Vol.25 (1), p.33-38
1. Verfasser: Gundyrev, I. A.
Format: Artikel
Sprache:eng
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Zusammenfassung: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 Berestovskiĭ’s conjecture on the structure of such spaces.
ISSN:1055-1344
1934-8126
DOI:10.3103/S1055134415010046