First, we characterize all the polynomial vector fields in ℝ4 which have the Clifford torus as an invariant surface. Then we study the number of invariant meridians and parallels that such polynomial vector fields can have on the Clifford torus as a function of the degree of these vector fields.

中文翻译：

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Clifford 圆环上的多项式向量场

首先，我们刻画所有多项式向量场ℝ4具有 Clifford 环面作为不变曲面。然后我们研究了这些多项式向量场在克利福德环面上可能具有的不变子午线和平行线的数量，作为这些向量场度数的函数。