Freeness in higher order frame bundles

Abstract

We provide counterexamples to P. Olver's freeness conjecture for $C^{\infty }$ actions. In fact, we show that a counterexample exists for any connected real Lie group with noncompact center, as well as for the additive group of the integers.

References in corpus (1)

• Real analytic counterexample to the freeness conjecture

Cited by in corpus (3)

• Real analytic counterexample to the freeness conjecture
• Generic freeness in frame bundle prolongations of $C^{\infty }$ actions
• Discrete free Abelian central stabilizers in a higher order frame bundle