Solving Local Equivalence Problems with the Equivariant Moving Frame Method

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Author: Valiquette, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149233
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...