MAXIMUM PRINCIPLE AND SYMMETRY FOR MINIMAL HYPERSURFACES IN H^n x R

Ricardo Sá Earp (1) , Barbara Nelli (2) , Eric Toubiana (3)

1 Departamento de Matematica
2 DISIM - Department of Information Engineering, Computer Science and Mathematics = Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica [L'Aquila]
3 IMJ - Institut de Mathématiques de Jussieu

The aim of this work is to study how the asymptotic boundary of a minimal hypersurface in H^n x R determines the behavior of the hypersurface at fi nite points, in several geometric situations.

Mots clés: vertical graph; minimal end; maximum principle; asymptotic boundary.; asymptotic boundary; minimal surface

Domaines: Géométrie différentielle [math.DG]

Ricardo Sá Earp, Barbara Nelli, Eric Toubiana. MAXIMUM PRINCIPLE AND SYMMETRY FOR MINIMAL HYPERSURFACES IN H^n x R. 2012. ⟨hal-00753025⟩