TY - JOUR
T1 - Invariant submanifold flows
AU - Olver, Peter J.
PY - 2008/8/29
Y1 - 2008/8/29
N2 - 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.
AB - 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.
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U2 - 10.1088/1751-8113/41/34/344017
DO - 10.1088/1751-8113/41/34/344017
M3 - Article
AN - SCOPUS:52349115083
SN - 1751-8113
VL - 41
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 34
M1 - 344017
ER -