Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry

  • Song J
  • Qu C
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Abstract

In this paper, the theory for curves in centro-equiaffine symplectic geometry is established. Integrable systems satisfied by the curvatures of curves under inextensible motions in centro-equiaffine symplectic geometry are identified. It is shown that certain non-stretching invariant curve flows in centro-equiaffine symplectic geometry are closely related to the matrix KdV equations and their extension. © 2011 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Centro-equiaffine symplectic geometry
  • Integrable system
  • Invariant curve flow
  • Matrix KdV equations

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Authors

  • Junfeng Song

  • Changzheng Qu

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