Closed Special Weingarten Surfaces in the Standard Three Sphere

被引：0
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作者：
Sebastião C. de Almeida
Fabiano G. B. Brito
Roseli Nozaki
机构：
[1] CAEN,Departamento de Matemática e Estatística (DME)
[2] Universidade Federal do Ceará,undefined
[3] Universidade Federal do Estado do Rio de Janeiro,undefined
[4] Universidade Estadual de Maringá,undefined
来源：
Results in Mathematics | 2009年 / 56卷
关键词：
53C42; 53C40; Special Weingarten surfaces; minimal surfaces in ; Heegard surfaces;
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摘要：
In this paper we introduce the notion of special Weingarten surfaces of minimal type in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{S}^3$$\end{document}. Applying equivariant geometry techniques we construct rotational examples and study the embedness problem for those special surfaces.
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