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Open AccessArticle

Smooth Counterexamples to Frame Bundle Freeness

School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Mathematics 2019, 7(11), 1058; https://doi.org/10.3390/math7111058
Received: 11 September 2019 / Revised: 18 October 2019 / Accepted: 24 October 2019 / Published: 5 November 2019
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. View Full-Text
Keywords: prolongation; moving frame; dynamics prolongation; moving frame; dynamics
MDPI and ACS Style

Adams, S. Smooth Counterexamples to Frame Bundle Freeness. Mathematics 2019, 7, 1058.

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