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Solving Local Equivalence Problems with the Equivariant Moving Frame Method

Solving Local Equivalence Problems with the Equivariant Moving Frame Method

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 …