On the classification of cartan actions

Boris Kalinin, Ralf Spatzier

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


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

Original languageEnglish (US)
Pages (from-to)468-490
Number of pages23
JournalGeometric and Functional Analysis
Issue number2
StatePublished - Jun 2007

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology


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