For a hyperbolic generalized Hénon mapping (in the sense of [3]), , the boundary of the set of points with bounded orbit is known as a complicated set and also known to admit a lamination by biholomorphic images of (see [3,6]). We prove that there exists a leaf, which is an injective Brody curve in , in the lamination of for certain generalized Hénon mappings (for Brody curves and injective Brody curves, see Subsection 2.2).
L'ensemble des points d'orbite bornée est connu, pour une application de Hénon généralisée hyperbolique (dans le sens de [3]), comme étant un ensemble compliqué admettant une lamination par images biholomorphes de (voir [3,6]). Nous montrons que, pour certaines applications de Hénon généralisées hyperboliques, une feuille de cette lamination est une courbe de Brody injective dans (voir la sous-section 2.2 pour les notions de courbes de Brody et courbes de Brody injectives).
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Taeyong Ahn 1
@article{CRMATH_2015__353_8_701_0, author = {Taeyong Ahn}, title = {Brody curves in complicated sets}, journal = {Comptes Rendus. Math\'ematique}, pages = {701--704}, publisher = {Elsevier}, volume = {353}, number = {8}, year = {2015}, doi = {10.1016/j.crma.2015.05.001}, language = {en}, }
Taeyong Ahn. Brody curves in complicated sets. Comptes Rendus. Mathématique, Volume 353 (2015) no. 8, pp. 701-704. doi : 10.1016/j.crma.2015.05.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.05.001/
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