Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/69906
Type: Artigo de periódico
Title: Immersions of finite geometric type in Euclidean spaces
Author: Barbosa, JLM
Fukuoka, R
Mercuri, F
Abstract: In this paper, we introduce the class of hypersurfaces of finite geometric type. They are defined as the ones that share the basic differential topological properties of minimal surfaces of finite total curvature. We extend to surfaces in this class the classical theorem of Osserman on the number of omitted points of the Gauss mapping of complete minimal surfaces of finite total curvature. We give a classification of the even-dimensional catenoids as the only even-dimensional minimal hypersurfaces of R-n of finite geometric type.
Subject: hypersurface
finite geometric type
catenoid
Gauss map
Country: Holanda
Editor: Kluwer Academic Publ
Rights: fechado
Identifier DOI: 10.1023/A:1020557829900
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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