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Freeness in higher order frame bundles

2015/09/04 by Scot Adams, Adams, Scot · 1 citation
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1509.01609

openalex publication_date 2015/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide counterexamples to P. Olver's freeness conjecture for C^∞ 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.

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