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math.DS2004
On Lorentz dynamics : From group actions to warped products via homogeneous spaces
Abdelouahab Arouche, Mohamed Deffaf, Abdelghani Zeghib
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…
math.DS2002
Dynamics on the space of harmonic functions and the foliated Liouville problem
R. Feres, A. Zeghib
We study here the action of subgroups of PSL(2,R) on the space of harmonic functions on the unit disc bounded by a common constant, as well as the relationship this action has with…