Symplectic Invariants for Curves and Integrable Systems in Centro-equiaffine and Similarity Symplect

来源 :International Conference on Orthogonal Polynomials,Integrabl | 被引量 : 0次 | 上传用户：yumiaochan

【摘要】

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In this talk,the centro-equiaffine and similarity symplectic geometries for curves are proposed and studied.Explicit expressions of the symplectic invariants fo

【作者】

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Changzheng Qu

【机构】

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DepartmentofMathematics,NingboUniversity,Ningbo,China

【出处】

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International Conference on Orthogonal Polynomials,Integrabl

【发表日期】

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2014年10期

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In this talk,the centro-equiaffine and similarity symplectic geometries for curves are proposed and studied.Explicit expressions of the symplectic invariants for curves in centro-affine and similarity symplectic geometries are obtained by using the equivariant moving frame method.Invariant curve flows in four-dimensional centro-affine and similarity symplectic geometries are also studied.It is shown that certain intrinsic invariant curve flows in four-dimensional centr-affine and similarity symplectic geometry are related to the integrable noncommutative KdV equations and matrix Burgers equations.

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Symplectic Invariants for Curves and Integrable Systems in Centro-equiaffine and Similarity Symplect

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