科研之友
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摘要
We prove the local differentiable rigidity of generic partially hyperbolic abelian algebraic high-rank actions on compact homogeneous spaces obtained from split symplectic Lie groups. We also give examples of rigidity for nongeneric actions on compact homogeneous spaces obtained from SL(2n,R) or SL(2n, C). The conclusions are based on the geometric approach by Katok-Damjanovic and a progress towards computations of the generating relations in these groups.
- 出版日期2010-10
