Geodesic
Minimal, rigid foliations by curves on $\mathbb{CP}^n$
Journal of the European Mathematical Society, Tome 5 (2003) no. 2, pp. 147-201.

Voir la notice de l'article provenant de la source EMS Press

We prove the existence of minimal and rigid singular holomorphic foliations by curves on the projective space CPn for every dimension n≥2 and every degree d≥2. Precisely, we construct a foliation F which is induced by a homogeneous vector field of degree d, has a finite singular set and all the regular leaves are dense in the whole of CPn. Moreover, F satisfies many additional properties expected from chaotic dynamics and is rigid in the following sense: if F is conjugate to another holomorphic foliation by a homeomorphism sufficiently close to the identity, then these foliations are also conjugate by a projective transformation. Finally, all these properties are persistent for small perturbations of F.
DOI : 10.1007/s10097-002-0049-6
Classification : 14-XX, 00-XX
Keywords: 
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     title = {Minimal, rigid foliations by curves on $\mathbb{CP}^n$},
     journal = {Journal of the European Mathematical Society},
     pages = {147--201},
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Frank Loray; Julio C. Rebelo. Minimal, rigid foliations by curves on $\mathbb{CP}^n$. Journal of the European Mathematical Society, Tome 5 (2003) no. 2, pp. 147-201. doi : 10.1007/s10097-002-0049-6. http://geodesic.mathdoc.fr/articles/10.1007/s10097-002-0049-6/

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