|
|||||
|
|
Joachimsthal surfaces inS 3 |
|
| Authors: | L. A. Masal’tsev |
| Affiliation: | (1) Kharkov State University, USSR |
| Abstract: | A representation of the Joachimsthal surfaces (having a family of curvature lines that lie in totally geodesic 2-spheres) in the sphereS 3 is obtained. It is proved that, if a surface of constant mean curvature inS 3 has one family of curvature lines lying in totally geodesic 2-spheres, then it is a surface of rotation. Translated fromMatematicheskie Zametki, Vol. 67, No. 2, pp. 221–229, February, 2000. |
| Keywords: | spherical geometry Joachimsthal surface surface of constant mean curvature curvature lines rotational surface |
| 本文献已被 SpringerLink 等数据库收录！ | |