A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
Fuente:
Redalyc
Saved in:
| Main Author: | |
|---|---|
| Format: | Artículo científico |
| Language: | en |
| Published: |
Academia Brasileira de Ciências
2004
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1876451582376148992 |
|---|---|
| author | Abdênago Barros |
| author_facet | Abdênago Barros |
| contents | A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere Abdênago Barros Multidisciplinaria (Ciencias Naturales y Exactas) Flat torus circular tori constant mean curvature stereographic projection In this note we will show that the inverse image under the stereographic projection of a circulartorus of revolution in the 3-dimensional euclidean space has constant mean curvature in the unit3-sphere if and only if their radii are the catet and the hypotenuse of an appropriate right triangle. 2004 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32776402 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.76 |
| format | Artículo científico |
| id | redalyc_32776402 |
| institution | Redalyc |
| language | en |
| publishDate | 2004 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere Abdênago Barros Multidisciplinaria (Ciencias Naturales y Exactas) Flat torus circular tori constant mean curvature stereographic projection A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere Abdênago Barros Multidisciplinaria (Ciencias Naturales y Exactas) Flat torus circular tori constant mean curvature stereographic projection In this note we will show that the inverse image under the stereographic projection of a circulartorus of revolution in the 3-dimensional euclidean space has constant mean curvature in the unit3-sphere if and only if their radii are the catet and the hypotenuse of an appropriate right triangle. 2004 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32776402 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.76 |
| title | A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Flat torus circular tori constant mean curvature stereographic projection |
| url | https://www.redalyc.org/articulo.oa?id=32776402 |