Geodesic
The structure of similarity homogeneous locally compact spaces with an intrinsic metric.~II
Matematičeskie trudy, Tome 18 (2015) no. 1, pp. 15-26

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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. 
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     author = {I. A. Gundyrev},
     title = {The structure of similarity homogeneous locally compact spaces with an intrinsic {metric.~II}},
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I. A. Gundyrev. The structure of similarity homogeneous locally compact spaces with an intrinsic metric.~II. Matematičeskie trudy, Tome 18 (2015) no. 1, pp. 15-26. http://geodesic.mathdoc.fr/item/MT_2015_18_1_a1/