The Liouville parametrization of a triaxial ellipsoid
Differential Geometry
2014-10-09 v2
Abstract
In this article we will construct the Liouville parametrization of the triaxial ellipsoid. In the literature quadrics are given as examples of Liouville surfaces, yet no one gives such a parametrization. For this we introduce the generalized Jacobi amplitude as inverse of the elliptic integral of the third kind.
Keywords
Cite
@article{arxiv.1409.7783,
title = {The Liouville parametrization of a triaxial ellipsoid},
author = {Călin-Şerban Bărbat},
journal= {arXiv preprint arXiv:1409.7783},
year = {2014}
}
Comments
PDFLaTeX, 5 pages, 2 figures