Geodesic
The structure of similarity homogeneous locally compact spaces with an intrinsic metric
Matematičeskie trudy, Tome 17 (2014) no. 2, pp. 132-141.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MT_2014_17_2_a6,
     author = {I. A. Gundyrev},
     title = {The structure of similarity homogeneous locally compact spaces with an intrinsic metric},
     journal = {Matemati\v{c}eskie trudy},
     pages = {132--141},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2014_17_2_a6/}
}
TY  - JOUR
AU  - I. A. Gundyrev
TI  - The structure of similarity homogeneous locally compact spaces with an intrinsic metric
JO  - Matematičeskie trudy
PY  - 2014
SP  - 132
EP  - 141
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2014_17_2_a6/
LA  - ru
ID  - MT_2014_17_2_a6
ER  - 
%0 Journal Article
%A I. A. Gundyrev
%T The structure of similarity homogeneous locally compact spaces with an intrinsic metric
%J Matematičeskie trudy
%D 2014
%P 132-141
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2014_17_2_a6/
%G ru
%F MT_2014_17_2_a6
I. A. Gundyrev. The structure of similarity homogeneous locally compact spaces with an intrinsic metric. Matematičeskie trudy, Tome 17 (2014) no. 2, pp. 132-141. http://geodesic.mathdoc.fr/item/MT_2014_17_2_a6/

[1] Adams Dzh., Lektsii po gruppam Li, Nauka, M., 1979 | MR | Zbl

[2] Andreev P. D., “Polulineinye metricheskie polureshetki na $\mathbb R$-derevyakh”, Izv. vuzov. Matem., 2006, no. 6, 3–13 | MR | Zbl

[3] Berestovskii V. N., “Odnorodnye $G$-prostranstva Buzemana”, Sib. matem. zhurn., 23:2 (1982), 3–15 | MR

[4] Berestovskii V. N., “O strukture odnorodnykh lokalno kompaktnykh prostranstv s vnutrennei metrikoi”, Sib. matem. zhurn., 30:1 (1989), 23–34 | MR

[5] Berestovskii V. N., “Podobno odnorodnye lokalno polnye prostranstva s vnutrennei metrikoi”, Izv. vuzov. Matem., 2004, no. 11, 3–22 | MR

[6] Buzeman G., Geometriya geodezicheskikh, Fizmatgiz, M., 1962 | MR

[7] Gundyrev I. A., “O podobno odnorodnykh lokalno-kompaktnykh prostranstvakh s vnutrennei metrikoi”, Izv. vuzov. Matem., 2008, no. 4, 28–42 | MR | Zbl

[8] Pontryagin L. N., Nepreryvnye gruppy, Editorial URSS, M., 2004

[9] Sosov E. N., “O konechnoi kompaktnosti i polnote nekotorykh prostranstv otobrazhenii s metrikoi Buzemana”, Izv. vuzov. Matem., 1993, no. 11, 62–68 | MR | Zbl

[10] Berestovskii V. N., Plaut C., “Homogeneous spaces of curvature bounded below”, J. Geom. Anal., 9:2 (1999), 203–219 | DOI | MR | Zbl