Solving Local Equivalence Problems with the Equivariant Moving Frame Method
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Solving Local Equivalence Problems with the Equivariant Moving Frame Method
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| Creator |
Valiquette, F.
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| Description |
Given a Lie pseudo-group action, an equivariant moving frame exists in the neighborhood of a submanifold jet provided the action is free and regular. For local equivalence problems the freeness requirement cannot always be satisfied and in this paper we show that, with the appropriate modifications and assumptions, the equivariant moving frame constructions extend to submanifold jets where the pseudo-group does not act freely at any order. Once this is done, we review the solution to the local equivalence problem of submanifolds within the equivariant moving frame framework. This offers an alternative approach to Cartan's equivalence method based on the theory of G-structures.
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| Date |
2019-02-19T19:04:08Z
2019-02-19T19:04:08Z 2013 |
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| Type |
Article
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| Identifier |
Solving Local Equivalence Problems with the Equivariant Moving Frame Method / F. Valiquette // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 42 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53A55; 58A15 DOI: http://dx.doi.org/10.3842/SIGMA.2013.029 http://dspace.nbuv.gov.ua/handle/123456789/149233 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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