Integrable osculating plane distributions. (English. French summary) Zbl 1271.32024

Summary: We give a necessary condition for a holomorphic vector field to induce an integrable osculating plane distribution and, using this condition, we give a characterization of such fields. We also give a generic classification for vector fields which have two invariant coordinate planes.


32M25 Complex vector fields, holomorphic foliations, \(\mathbb{C}\)-actions
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