Integrable Flows for Starlike Curves in Centroaffine Space
نویسندگان
چکیده
منابع مشابه
Integrable Flows for Starlike Curves in Centroaffine Space
We construct integrable hierarchies of flows for curves in centroaffine R 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 RP induces...
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2013
ISSN: 1815-0659
DOI: 10.3842/sigma.2013.022