Local Rigidity of Partially Hyperbolic Actions: Solution of the General Problem via KAM Method

Details Local Rigidity of Partially Hyperbolic Actions: Solution of the General Problem via KAM Method Local Rigidity of Partially Hyperbolic Actions: Solution of the General Problem via KAM Method

2011-03-16

arxiv.org/abs/1103.3077v1

Mathematics

Dynamical Systems

Scientific paper

We consider a broad class of partially hyperbolic algebraic actions of higher-rank abelian groups. Those actions appear as restrictions of full Cartan actions on homogeneous spaces of Lie groups and their factors by compact subgroups of the centralizer. The common property of those actions is that hyperbolic directions generate the whole tangent space. For these actions we prove differentiable rigidity for perturbations of sufficiently high regularity. The method of proof is KAM type iteration scheme. The principal difference with previous work that used similar methods is very general nature of our proofs: the only tool from analysis on groups is exponential decay of matrix coefficients and no specific information about unitary representations is required.

Affiliated with

Also associated with

No associations

Rating

Local Rigidity of Partially Hyperbolic Actions: Solution of the General Problem via KAM Method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Local Rigidity of Partially Hyperbolic Actions: Solution of the General Problem via KAM Method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local Rigidity of Partially Hyperbolic Actions: Solution of the General Problem via KAM Method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-261871