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.<...
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 |
Similar Items
-
Prevalence of oral tori among medical and dental Students at the University of the West Indies
by: Arvind Babu Rajendra Santosh, et al.
Published: (2016-10-01) -
Tori embedded in S³ with dense asymptotic lines
by: Ronaldo Garcia, et al.
Published: (2009-03-01) -
Constant mean curvature surfaces with circular boundary in R³
by: Pedro A. Hinojosa
Published: (2006-03-01) -
Hypersurfaces with constant mean curvature and two principal curvatures in <img id="_x0000_i1025" src="../../../../img/revistas/aabc/v76n3/a03img01.gif" align=absbottom>n+1
by: Luis J. Alías, et al.
Published: (2004-09-01) -
Dr. Bernando Toro
by: Manuel M. Chavarriaga
Published: (1922-07-01)