A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere

In this note we will show that the inverse image under the stereographic projection of a circular torus of revolution in the 3-dimensional euclidean space has constant mean curvature in the unit 3-sphere if and only if their radii are the catet and the hypotenuse of an appropriate right triangle.<...

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Bibliographic Details
Main Author: Abdênago Barros
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2004-12-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000400002