Conformal immersions of Delaunay surfaces and their duals. (English) Zbl 1081.53006

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5–12, 2003. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-8-7/pbk). 158-168 (2004).
Author’s abstract: A few explicit formulas providing conformal coordinates of axially symmetric constant mean curvature surfaces introduced by Delaunay and their duals are derived. These results give also new examples in a long line of research connected with finding isothermic immersions of surfaces and their duals.
For the entire collection see [Zbl 1048.53002].


53A05 Surfaces in Euclidean and related spaces
53A30 Conformal differential geometry (MSC2010)
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