Abstract
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.
Information
Published: 1 January 2010
First available in Project Euclid: 13 July 2015
zbMATH: 1203.53007
MathSciNet: MR2757846
Digital Object Identifier: 10.7546/giq-11-2010-108-117
Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
