3 papers
math.DS2004
On the Classification of Cartan Actions
Boris Kalinin, Ralf Spatzier
We study higher rank Cartan actions on compact manifolds preserving an ergodic measure with full support. In particular, we classify actions by with whose one-pa…
math.DG2003
Spherical rank rigidity and Blaschke manifolds
Krishnan Shankar, Ralf Spatzier, Burkhard Wilking
Let M be a complete Riemannian manifold whose sectional curvature is bounded above by 1. We say that M has positive spherical rank if along every geodesic one hits a conjugate poin…
math.DS2002
Rigidity of the measurable structure for algebraic actions of higher rank abelian groups
Boris Kalinin, Ralf Spatzier
We investigate rigidity of measurable structure for higher rank abelian algebraic actions. In particular, we show that ergodic measures for these actions fiber over a 0 entropy mea…