Non-simply connected minimal planar domains in H^2 x R

Autor:	Martín, Francisco, Rodríguez, M. Magdalena
Rok vydání:	2011
Předmět:	Mathematics - Differential Geometry 53A10 49Q05 53C42
Druh dokumentu:	Working Paper
Popis:	We prove that any non-simply connected planar domain can be properly and minimally embedded in H^2 x R. The examples that we produce are vertical bi-graphs, and they are obtained from the conjugate surface of a Jenkins-Serrin graph. Comment: 18 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1106.4596 Zobrazit plný text záznamu View this record from Arxiv