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Some Picard theorems for minimal surfaces

Authors:	Francisco J Ló pez

Institution:	Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain

Abstract:	This paper deals with the study of those closed subsets $F \subset \mathbb{R} ^3$ for which the following statement holds: If is a properly immersed minimal surface in $\mathbb{R} ^3$ of finite topology that is eventually disjoint from then has finite total curvature. The same question is also considered when the conclusion is finite type or parabolicity.

Keywords:	Properly immersed minimal surfaces finite topology finite total curvature

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