Recursive Moving Frames

Peter J. Olver

doi:10.1007/s00025-011-0153-6

Recursive Moving Frames

Peter J. Olver

Mathematics

Research output: Contribution to journal › Article › peer-review

16 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 language	English (US)
Pages (from-to)	423-452
Number of pages	30
Journal	Results in Mathematics
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/s00025-011-0153-6
State	Published - 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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KW - Lie pseudo-group

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KW - Moving frame

KW - contact form

KW - differential invariant

KW - invariant differential form

KW - recurrence formula

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Recursive Moving Frames

Abstract

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