Integrable Flows for Starlike Curves in Centroaffine Space

We construct integrable hierarchies of flows for curves in centroaffine R³ through a natural pre-symplectic structure on the space of closed unparametrized starlike curves. We show that the induced evolution equations for the differential invariants are closely connected with the Boussinesq hierarch...

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Datum:2013
Hauptverfasser: Calini, A., Ivey, T., Beffa, G.M.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2013
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/149224
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Integrable Flows for Starlike Curves in Centroaffine Space / A. Calini, T. Ivey, G.M. Beffa // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 30 назв. — англ.

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