Poisson structures for geometric curve flows in semi-simple homogeneous spaces (Q618232)
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scientific article; zbMATH DE number 5836818
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poisson structures for geometric curve flows in semi-simple homogeneous spaces |
scientific article; zbMATH DE number 5836818 |
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Poisson structures for geometric curve flows in semi-simple homogeneous spaces (English)
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14 January 2011
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The authors use the equivariant method of moving frames to investigate the existence of Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Explicit compatibility conditions that ensure that a geometric flow induces a Hamiltonian evolution of the associated differential invariants are derived. Interesting examples are given.
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moving frame
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Poisson structure
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homogeneous space
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invariant curve flow
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differential invariant
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invariant variational bicomplex
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