Minimal surfaces of finite total curvature in HxR - Laboratoire d'Analyse et de Mathématiques Appliquées Accéder directement au contenu
Article Dans Une Revue Matemática Contemporânea Année : 2006

Minimal surfaces of finite total curvature in HxR

Résumé

We prove that finite total curvature minimal surface of H^2xR are characterize by meromorphic extension of Abresch-Rosenberg quadratic differential and the finite total curvature is a multiple of 2pik with integer k. When the surface is a graph, it is asymptotic to a Scherk's type example.
Fichier non déposé

Dates et versions

hal-00796846 , version 1 (05-03-2013)

Identifiants

  • HAL Id : hal-00796846 , version 1

Citer

Laurent Hauswirth, Harold Rosenberg. Minimal surfaces of finite total curvature in HxR. Matemática Contemporânea, 2006, 31, pp.65-80. ⟨hal-00796846⟩
47 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More