6533b827fe1ef96bd1286db1

RESEARCH PRODUCT

Feuilletages deCP(n) : de l’holonomie hyperbolique pour les minimaux exceptionnels

R. MoussuChristian BonattiR. Langevin

subject

Mathematics::Dynamical SystemsQuantitative Biology::Tissues and OrgansGeneral MathematicsMathematical analysisHolomorphic functionHolonomyClosure (topology)Disjoint setsFoliationCombinatoricsLoop (topology)Mathematics::Differential GeometryMathematics::Symplectic GeometryMathematics

description

Let ℱ be a holomorphic foliation ofCP(n). If ℱ has a leaf L, the closure L of which is disjoint from the singular set of the foliation, we prove that there exists a loop in a leaf contained in L with contracting hyperbolic holonomy.

https://doi.org/10.1007/bf02699493