Local rigidity of partially hyperbolic actions

Zhenqi Jenny Wang

doi:10.3934/era.2010.17.68

Article Contents

2010, Volume 17: 68-79. Doi: 10.3934/era.2010.17.68

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Local rigidity of partially hyperbolic actions

Zhenqi Jenny Wang^1,

1.
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802

Received: January 31, 2010

Revised: June 30, 2010

Published: December 2009

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Abstract

We prove the local differentiable rigidity of partially hyperbolic abelian algebraic high-rank actions on compact homogeneous spaces obtained from simple indefinite orthogonal and unitary groups. The conclusions are based on geometric Katok-Damjanovic way and progress towards computations of the Schur multipliers of these non-split groups.

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Mathematics Subject Classification: 37C85.

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References

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