Normal Forms for Submanifolds Under Group Actions

  • Peter J. OlverEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 266)


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.


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


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Authors and Affiliations

  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA

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