New Cases of Differential Rigidity for Non-Generic Partially Hyperbolic Actions

Details New Cases of Differential Rigidity for Non-Generic Partially Hyperbolic Actions New Cases of Differential Rigidity for Non-Generic Partially Hyperbolic Actions

2009-11-15

arxiv.org/abs/0911.2901v1

Mathematics

Dynamical Systems

Scientific paper

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.

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