We propose a new, constructive theory of moving frames for Lie pseudo-group actions on submanifolds. The moving frame provides an effective means for determining complete systems of differential invariants and invariant differential forms, classifying their syzygies and recurrence relations, and solving equivalence and symmetry problems arising in a broad range of applications.

MSC Classifications:

58A15, 58A20, 58H05, 58J70 show english descriptions Exterior differential systems (Cartan theory)
Jets
Pseudogroups and differentiable groupoids [See also 22A22, 22E65]
Invariance and symmetry properties [See also 35A30] 58A15 - Exterior differential systems (Cartan theory)
58A20 - Jets
58H05 - Pseudogroups and differentiable groupoids [See also 22A22, 22E65]
58J70 - Invariance and symmetry properties [See also 35A30]

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