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.
|53A05||Surfaces in Euclidean space|
|53A30||Conformal differential geometry|