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On the Classification of Cartan Actions (2004)

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 $k \geq 3$.. Comment: 19 pages

Publication details
Download http://arxiv.org/abs/math/0411236
Repository arXiv (United States)
Keywords Mathematics - Dynamical Systems, Mathematics - Differential Geometry, 37C85
Type text