On Lorentz dynamics : From group actions to warped products via homogeneous spaces
Arouche, Abdelouahab ; Deffaf, Mohamed ; Zeghib, Abdelghani
HAL, hal-00003480 / Harvested from HAL
Text on HAL
We show a geometric rigidity of isometric actions of non compact (semisimple) Lie groups on Lorentz manifolds. Namely, we show that the manifold has a warped product structure of a Lorentz manifold with constant curvature by a Riemannian manifold.
Publié le : 2004-12-09
Classification:  homogeneous space,  warped product,  semisimple Lie group,  noncompact action,  lorentz manifold,  MSC : 53A35, 37C85, 57S20,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00003480,
     author = {Arouche, Abdelouahab and Deffaf, Mohamed and Zeghib, Abdelghani},
     title = {On Lorentz dynamics : From group actions to warped products via homogeneous spaces},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003480}
}

Arouche, Abdelouahab; Deffaf, Mohamed; Zeghib, Abdelghani. On Lorentz dynamics : From group actions to warped products via homogeneous spaces. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003480/