2k+1次多项式矢量场在RP^(2)赤道上的一个性质

A QUALITY OF(2K+1)TH DEGREE POLYNOMIAL VECTOR FIELDS ON THE EQUATOR OF RP^(2)

本文讨论平面2k+1次多项式矢量场对应的微分系统的轨线扩充至无穷远后,诱导出射影平面的模型赤道是轨线但无临界点的特征。

In this paper, a characteristic of vcctor fields (P_(2k+1)(x, y), Q_(2k+1) (x, y)) is discussed. After it can be extended analytically to the equator C of RP^2 model, such that equator C is invariant and it has no critical point.