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The structure of similarity homogeneous locally compact spaces with an intrinsic metric. II
I. A. Gundyrev Omsk State University, Omsk, Russia
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
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
Linking options:
https://www.mathnet.ru/eng/mt284 https://www.mathnet.ru/eng/mt/v18/i1/p15
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Statistics & downloads: |
Abstract page: | 342 | Full-text PDF : | 83 | References: | 59 | First page: | 13 |
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