2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73182We 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 $k \geq 3$.19 pagesDynamical SystemsDifferential Geometry37C85text