Non-special, non-canal isothermic tori with spherical lines of curvature-Reference-Cited by-同舟云学术

Non-special, non-canal isothermic tori with spherical lines of curvature

Published:2000-11-28 Issue:6 Volume:353 Page:2245-2274
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bernstein Holly

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2001-353-06/S0002-9947-00-02691-X/S0002-9947-00-02691-X.pdf

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