LOCAL RIGIDITY OF PARTIALLY HYPERBOLIC ACTIONS

By Z. Wang. 2009

68 citations recorded by the source corpus.

We consider partially hyperbolic abelian algebraic high-rank actions on compact homogeneous spaces obtained from simple indefinite orthogonal and unitary groups. In the first part of the paper, we show local differentiable rigidity for such actions. The conclusions are based on progress toward computations of the Schur multipliers of these non-split groups, which is the main aim of the second part.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6d05efe06f89ae1477c95785ee5dc1026aa4ed58

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Danijela Damjanović
2. A. Katok
3. J. Thouvenot
4. Elon Lindenstrauss
5. Manfred Einsiedler

In Mathematical Physics

1. Danijela Damjanović
2. A. Katok
3. Elon Lindenstrauss
4. Manfred Einsiedler
5. J. Thouvenot

Citations in the corpus

• Local rigidity of partially hyperbolic actions I. KAM method and ${\mathbb Z^k}$ actions on the torus (2010, methodology): “4Added in Proof: This method has been successfully applied in [36], [37] to a variety of new cases of type (2) including those with nonsplit groups G.”
• NONUNIFORM MEASURE RIGIDITY (2008, unknown): “[21], [15], [3] and references thereof.”