Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 44, No. 1, pp. 1-8 (2003)

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Isothermic Surfaces and Hopf Cylinders

Gabi Preissler

Institute of Geometry, Technical University of Dresden, D-01062 Dresden, Germany, e-mail: preissler@math.tu-dresden.de

Abstract: Based on the work of Pinkall, characterizations of spherical curves are given whose corresponding Hopf cylinders are isothermic surfaces in the three-dimensional sphere. Comparing these characterizations with results of Langer and Singer about elastic spherical curves we determine all isothermic Willmore Hopf tori.

Keywords: isothermic surface, Hopf cylinder, Clifford torus, Willmore surface

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Electronic version published on: 3 Apr 2003. This page was last modified: 4 May 2006.

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