On helicoidal ends of minimal surfaces - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annals of Global Analysis and Geometry Année : 1994

On helicoidal ends of minimal surfaces

Résumé

This article analyzes the behaviour of helicoidal ends of properly embedded minimal surfaces, namely properly embedded infinite total curvature minimal annuli of parabolic type, satisfying a growth condition on the curvature via the Gauss map, and a geometric transversality condition. Then we show that embeddedness forces the end to be asymptotic either to a plane, or a helicoid or a spiraling helicoid. In all three cases, the Gauss map can be described in very simple terms. Finally this local result yields a global corollary stating the rigidity of embedded minimal helicoids.
Fichier principal
Vignette du fichier
agag.pdf (1.85 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00860937 , version 1 (11-09-2013)

Identifiants

Citer

Pascal Romon. On helicoidal ends of minimal surfaces. Annals of Global Analysis and Geometry, 1994, 12 (1), pp.341. ⟨10.1007/BF02108306⟩. ⟨hal-00860937⟩
144 Consultations
86 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More