TY - JOUR
T1 - Non-tame Lorentz actions of semisimple Lie groups
AU - Adams, Scot
PY - 2003/10
Y1 - 2003/10
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/0242319471
UR - https://www.scopus.com/pages/publications/0242319471#tab=citedBy
U2 - 10.1017/S0143385702001475
DO - 10.1017/S0143385702001475
M3 - Article
AN - SCOPUS:0242319471
SN - 0143-3857
VL - 23
SP - 1307
EP - 1322
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 5
ER -