Open Access
2010 Beyond Delaunay Surfaces
Peter Djondjorov, Mariana Hadzhilazova, Ivaïlo Mladenov, Vassil M. Vassilev
J. Geom. Symmetry Phys. 18: 1-11 (2010). DOI: 10.7546/jgsp-18-2010-1-11


An interesting class of axially symmetric surfaces, which generalizes Delaunay's unduloids and provides solutions of the shape equation is described in explicit parametric form. This class provide the first analytical examples of surfaces with periodic curvatures studied by K. Kenmotsu and leads to some unexpected relationships among Jacobian elliptic functions and their integrals.


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Peter Djondjorov. Mariana Hadzhilazova. Ivaïlo Mladenov. Vassil M. Vassilev. "Beyond Delaunay Surfaces." J. Geom. Symmetry Phys. 18 1 - 11, 2010.


Published: 2010
First available in Project Euclid: 25 May 2017

zbMATH: 1203.53007
MathSciNet: MR2668879
Digital Object Identifier: 10.7546/jgsp-18-2010-1-11

Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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