Non-special, non-canal isothermic tori with spherical lines of curvature |
| |
| Authors: | Holly Bernstein |
| |
| Affiliation: | Department of Mathematics, Washington University in St. Louis, Campus Box 1146, One Brookings Drive, St. Louis, Missouri 63130 |
| |
| Abstract: | This article examines isothermic surfaces smoothly immersed in Möbius space. It finds explicit examples of non-special, non-canal isothermic tori with spherical lines of curvature in two systems by analyzing Darboux transforms of Dupin tori. In addition, it characterizes the property of spherical lines of curvature in terms of differential equations on the Calapso potential of the isothermic immersion, and investigates the effect of classical transformations on this property. |
| |
| Keywords: | Isothermic, tori, Darboux transform, M" obius geometry, moving frames, umbilic loci |
|
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 |
|
点击此处可从《Transactions of the American Mathematical Society》下载全文 |
|
