## 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.

### MSC:

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

### Keywords:

holomorphic vector field; osculating plane
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### References:

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