Recursive Moving Frames

Peter J. Olver

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

A recursive algorithm for the equivariant method of moving frames, for both finite-dimensional Lie group actions and Lie pseudo-groups, is developed and illustrated by several examples of interest. The recursive method enables one avoid unwieldy symbolic expressions that complicate the treatment of large scale applications of the equivariant moving frame method.

Original languageEnglish (US)
Pages (from-to)423-452
Number of pages30
JournalResults in Mathematics
Volume60
Issue number1
DOIs
StatePublished - Oct 2011

Bibliographical note

Funding Information:
Research supported in part by NSF Grant DMS 08-07317.

Keywords

  • Lie group
  • Lie pseudo-group
  • Maurer-Cartan form
  • Moving frame
  • contact form
  • differential invariant
  • invariant differential form
  • recurrence formula

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