We derive paiamelnzalions of the Delaunay constant mean curvature surfaces of revolution that lollow directly hom parametrrzations ol the conics that generate these surfaces via the coriesponding roulette This uniform treatment ex ploils the natural geomeliy of the conic (parabolic elliptic or hyperbolic) and leads to simple expiessions for the mean and Gaussian cuivatures of the surfaces as well is the construction of new surfaces.
|Original language||English (US)|
|Number of pages||19|
|Journal||Journal of Geometry and Symmetry in Physics|
|State||Published - Jan 1 2014|
ASJC Scopus subject areas
- Mathematical Physics
- Geometry and Topology