PROLONGED ANALYTIC CONNECTED GROUP ACTIONS ARE GENERICALLY FREE

Scot Adams, Peter J. Olver

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We prove that an effective, analytic action of a connected Lie group G on an analytic manifold M becomes free on a comeager subset of an open subset of M when prolonged to a frame bundle of sufficiently high order. We further prove that the action of G becomes free on a comeager subset of an open subset of a submanifold jet bundle over M of sufficiently high order, thereby establishing a general result that underlies Lie's theory of symmetry groups of differential equations and the equivariant method of moving frames.

Original languageEnglish (US)
Pages (from-to)893-913
Number of pages21
JournalTransformation Groups
Volume23
Issue number4
DOIs
StatePublished - Dec 1 2018

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