Delaunay Surfaces
Differential Geometry
2014-07-25 v1 Soft Condensed Matter
Abstract
We derive parametrizations of the Delaunay constant mean curvature surfaces of revolution that follow directly from parametrizations of the conics that generate these surfaces via the corresponding roulette. This uniform treatment exploits the natural geometry of the conic (parabolic, elliptic or hyperbolic) and leads to simple expressions for the mean and Gaussian curvatures of the surfaces as well as the construction of new surfaces.
Cite
@article{arxiv.1305.5681,
title = {Delaunay Surfaces},
author = {Enrique Bendito and Mark J. Bowick and Agustin Medina},
journal= {arXiv preprint arXiv:1305.5681},
year = {2014}
}
Comments
16 pages, 11 figures