Smooth Counterexamples to Frame Bundle Freeness

Scot Adams
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Scot Adams: School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA

Mathematics, 2019, vol. 7, issue 11, 1-6

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.

Keywords: prolongation; moving frame; dynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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