Integrable Flows for Starlike Curves in Centroaffine Space
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Integrable Flows for Starlike Curves in Centroaffine Space
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| Creator |
Calini, A.
Ivey, T. Beffa, G.M. |
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| Description |
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 hierarchy, and prove that the restricted hierarchy of flows on curves that project to conics in RP² induces the Kaup-Kuperschmidt hierarchy at the curvature level.
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| Date |
2019-02-19T19:00:46Z
2019-02-19T19:00:46Z 2013 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 37K10; 53A20; 53C44 DOI: http://dx.doi.org/10.3842/SIGMA.2013.022 http://dspace.nbuv.gov.ua/handle/123456789/149224 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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