TY - JOUR
T1 - Orbit nonproper dynamics on Lorentz manifolds
AU - Adams, Scot
PY - 2001
Y1 - 2001
N2 - An action of a topological group G on a topological space X is orbit nonproper if, for some cursive Greek chi ∈ X, the map g → gcursive Greek chi : G → X is nonproper. We describe the collection of connected, simply connected Lie groups admitting a locally faithful, orbit nonproper action by isometries of a connected Lorentz manifold.
AB - An action of a topological group G on a topological space X is orbit nonproper if, for some cursive Greek chi ∈ X, the map g → gcursive Greek chi : G → X is nonproper. We describe the collection of connected, simply connected Lie groups admitting a locally faithful, orbit nonproper action by isometries of a connected Lorentz manifold.
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U2 - 10.1215/ijm/1258138062
DO - 10.1215/ijm/1258138062
M3 - Article
AN - SCOPUS:0035657655
SN - 0019-2082
VL - 45
SP - 1191
EP - 1245
JO - Illinois Journal of Mathematics
JF - Illinois Journal of Mathematics
IS - 4
ER -