Normal forms for submanifolds under group actions

Peter J. Olver

doi:10.1007/978-3-030-01376-9_1

Normal forms for submanifolds under group actions

Peter J. Olver

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Scopus citations

Abstract

We describe computational algorithms for constructing the explicit power series expansions for normal forms of submanifolds under transformation groups. The procedure used to derive the coefficients relies on the recurrence formulae for differential invariants provided by the method of equivariant moving frames.

Original language	English (US)
Title of host publication	Symmetries, Differential Equations and Applications - SDEA-III 2017
Editors	Peter J. Olver, Pavel Winternitz, Teoman Özer, Victor G. Kac
Publisher	Springer New York LLC
Pages	1-25
Number of pages	25
ISBN (Print)	9783030013752
DOIs	https://doi.org/10.1007/978-3-030-01376-9_1
State	Published - 2018
Event	3rd International Conference on Symmetries, Differential Equations and Applications, SDEA-III 2017 - İstanbul, Turkey Duration: Aug 14 2018 → Aug 17 2018

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	266
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	3rd International Conference on Symmetries, Differential Equations and Applications, SDEA-III 2017
Country/Territory	Turkey
City	İstanbul
Period	8/14/18 → 8/17/18

Bibliographical note

Publisher Copyright:
© Springer Nature Switzerland AG 2018.

Keywords

Curvature
Differential invariant
Invariantization
Lie group
Moving frame
Normal form
Recurrence formula
Submanifold

Publisher link

10.1007/978-3-030-01376-9_1

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Normal forms for submanifolds under group actions. / Olver, Peter J.
Symmetries, Differential Equations and Applications - SDEA-III 2017. ed. / Peter J. Olver; Pavel Winternitz; Teoman Özer; Victor G. Kac. Springer New York LLC, 2018. p. 1-25 (Springer Proceedings in Mathematics and Statistics; Vol. 266).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Olver, PJ 2018, Normal forms for submanifolds under group actions. in PJ Olver, P Winternitz, T Özer & VG Kac (eds), Symmetries, Differential Equations and Applications - SDEA-III 2017. Springer Proceedings in Mathematics and Statistics, vol. 266, Springer New York LLC, pp. 1-25, 3rd International Conference on Symmetries, Differential Equations and Applications, SDEA-III 2017, İstanbul, Turkey, 8/14/18. https://doi.org/10.1007/978-3-030-01376-9_1

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ER -

Normal forms for submanifolds under group actions

Abstract

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Bibliographical note

Keywords

Publisher link

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