Pseudo-Stabilization of Prolonged Group Actions I. The Order Zero Case

Peter Olver

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


It is shown that every point transformation group whose prolonged orbit dimensions pseudo-stabilize at order 0 is equivalent, under a change of variables, to the elementary similarity group consisting of translations and dilatations.

Original languageEnglish (US)
Pages (from-to)271-277
Number of pages7
JournalJournal of Nonlinear Mathematical Physics
Issue number3-4
StatePublished - 1997

Bibliographical note

Funding Information:
This research was supported in part by NSF Grant DMS 95–00931.


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