Invariant submanifold flows

Peter J. Olver

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


Given a Lie group acting on a manifold, our aim is to analyze the evolution of differential invariants under invariant submanifold flows. The constructions are based on the equivariant method of moving frames and the induced invariant variational bicomplex. Applications to integrable soliton dynamics, and to the evolution of differential invariant signatures, used in equivalence problems and object recognition and symmetry detection in images, are discussed.

Original languageEnglish (US)
Article number344017
JournalJournal of Physics A: Mathematical and Theoretical
Issue number34
StatePublished - Aug 29 2008


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