Half-space Theorems for Minimal Surfaces in Nil$_3$ and Sol$_3$
Work
Year: 2011
Type: article
Abstract: We prove some half-space theorems for minimal surfaces in the Heisenberg group Nil$_3$ and the Lie group Sol$_3$ endowed with their standard left-invariant Riemannian metrics. If $\mathcal{S}$ is a pr... more
Source: Journal of Differential Geometry
Institutions University of Massachusetts Amherst, Instituto Nacional de Matemática Pura e Aplicada, Laboratoire d’Analyse et de Mathématiques Appliquées, Centre National de la Recherche Scientifique
Cites: 9
Cited by: 18
Related to: 10
FWCI: 2.063
Citation percentile (by year/subfield): 75.4
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze