New Cases of Differential Rigidity for Non-Generic Partially Hyperbolic Actions
Dynamical Systems
2009-11-17 v1 K-Theory and Homology
Abstract
We prove the locally differentiable rigidity of generic partially hyperbolic abelian algebraic high-rank actions on compact homogeneous spaces obtained from split symplectic Lie groups. We also gave a non-generic action rigidity example on compact homogeneous spaces obtained from SL(2n,R) or SL(2n,C). The conclusions are based on geometric Katok-Damjanovic way and progress towards computations of the generating relations in these groups.
Keywords
Cite
@article{arxiv.0911.2901,
title = {New Cases of Differential Rigidity for Non-Generic Partially Hyperbolic Actions},
author = {Zhenqi Wang},
journal= {arXiv preprint arXiv:0911.2901},
year = {2009}
}