Abstract
An action of a topological group $G$ on a topological space $X$ is orbit nonproper if, for some $x\in X$, the map $g\mapsto gx:G\to X$ 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.
Citation
Scot Adams. "Orbit nonproper dynamics on Lorentz manifolds." Illinois J. Math. 45 (4) 1191 - 1245, Winter 2001. https://doi.org/10.1215/ijm/1258138062
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