Persistence of freeness for Lie pseudogroup actions

Peter J. Olver, Juha Pohjanpelto

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


The action of a Lie pseudogroup G on a smooth manifold M induces a prolonged pseudogroup action on the jet spaces J n of submanifolds of M. We prove in this paper that both the local and global freeness of the action of G on J n persist under prolongation in the jet order n. Our results underlie the construction of complete moving frames and, indirectly, their applications in the identification and analysis of the various invariant objects for the prolonged pseudogroup actions.

Original languageEnglish (US)
Pages (from-to)165-182
Number of pages18
JournalArkiv for Matematik
Issue number1
StatePublished - Apr 2012

Bibliographical note

Funding Information:
Peter Olver was supported in part by NSF Grant 08-07317.


Dive into the research topics of 'Persistence of freeness for Lie pseudogroup actions'. Together they form a unique fingerprint.

Cite this