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arxiv: 1707.08859 · v1 · pith:5CCSWAKFnew · submitted 2017-07-27 · 🧮 math.DS

Polynomial vector fields on the Clifford torus

classification 🧮 math.DS
keywords fieldsvectorpolynomialcliffordinvarianttoruscharacterizedegree
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First we characterize all the polynomial vector fields in $\R^4$ which have the Clifford torus as an invariant surface. After we study the number of invariant meridians and parallels that such polynomial vector fields can have in function of the degree of these vector fields.

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