Geodesic
On the Group of Isometries on a Locally Compact Metric Space
Antonios Manoussos1 ; Polychronis Strantzalos2, 3, 4
1123 Sapfous Street, 17675 Kallithea, Athens, Greece
2Dept. of Mathematics, University of Athens, Athens 15784, Greece
3We study conditions under which the group of isometries on a locally compact metric space is locally compact, or acts properly.
4[
Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 7-12 
Antonios Manoussos; Polychronis Strantzalos. On the Group of Isometries on a Locally Compact Metric Space. Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 7-12. http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a1/
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     author = {Antonios Manoussos and Polychronis Strantzalos},
     title = {On the {Group} of {Isometries} on a {Locally} {Compact} {Metric} {Space}},
     journal = {Journal of Lie Theory},
     pages = {7--12},
     year = {2003},
     volume = {13},
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     url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a1/}
}
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We study conditions under which the group of isometries on a locally compact metric space is locally compact, or acts properly.