Title :

FINITENESS OF HYPERBOLIC ENTROPY FOR HOLOMORPHIC FOLIATIONS WITH NON-DEGENERATE SINGULARITIES

Author(s) :

Bacher, François [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Publication date :

2023-11-28

English keyword(s) :

Singular holomorphic foliation Leafwise Poincaré metric Hyperbolic entropy Non-degenerate singularities
Singular holomorphic foliation
Leafwise Poincaré metric
Hyperbolic entropy
Non-degenerate singularities

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

Consider $\mathscr{F}=(M,\mathscr{L},E)$ a Brody-hyperbolic foliation on a compact complex surface $M$. Suppose that the singularities of $\mathscr{F}$ are all non-degenerate. We show that the hyperbolic entropy of ...
Show more >Consider $\mathscr{F}=(M,\mathscr{L},E)$ a Brody-hyperbolic foliation on a compact complex surface $M$. Suppose that the singularities of $\mathscr{F}$ are all non-degenerate. We show that the hyperbolic entropy of $\mathscr{F}$ is finite.Show less >

Language :

Anglais

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL