Non-tame Lorentz actions of semisimple Lie groups

Scot Adams

Research output: Contribution to journalArticlepeer-review


We show that if G is a connected semisimple Lie group with finite center, and if G admits a locally faithful, non-tame action by isometrics of a connected Lorentz manifold, then g has an ideal which is Lie algebra isomorphic to s-fraktur sign2(ℝ). We also analyze the collection of connected Lie groups G admitting a free action by isometries of a connected Lorentz manifold such that the action is properly ergodic with respect to the Lorentz volume form.

Original languageEnglish (US)
Pages (from-to)1307-1322
Number of pages16
JournalErgodic Theory and Dynamical Systems
Issue number5
StatePublished - Oct 2003


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