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On the Classification of Cartan Actions

Boris Kalinin·Ralf Spatzier
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Abstract

We study higher rank Cartan actions on compact manifolds preserving an ergodic measure with full support. In particular, we classify actions by $\R ^k$ with $k \geq 3$ whose one-parameter groups act transitively as well as nondegenerate totally nonsymplectic $\Zk$-actions for $k \geq 3$.

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Boris Kalinin, Ralf Spatzier. 2004-11-10. On the Classification of Cartan Actions. https://arxiv.org/abs/math/0411236

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