Geometric affine symplectic curve flows in R4
Geometric affine symplectic curve flows in R4
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DOI：
10.1016/j.difgeo.2012.09.003
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发表时间：
2012-12
影响因子：
0.5
通讯作者：
F. Valiquette
中科院分区：
文献类型：
--
作者：
F. Valiquette
利用等变活动标架方法，得到了R4保弧长不变仿射辛曲线流的微分不变量的演化方程。给出了几何曲线流产生Hamilton演化方程的条件。最后，我们表明，一个恒定的切向曲线流产生双哈密顿演化方程。
The method of equivariant moving frames is used to obtain the equations governing the evolution of the differential invariants of an invariant affine symplectic curve flow in R4preserving arc length. Conditions guaranteeing that a geometric curve flow produces Hamiltonian evolution equations are obtained. Finally, we show that a constant tangential curve flow produces bi-Hamiltonian evolution equations.