On a surface isolated by Gambier
Exactly Solvable and Integrable Systems
2018-05-29 v1 Differential Geometry
Abstract
We provide a Lax pair for the surfaces of Voss and Guichard, and we show that such particular surfaces considered by Gambier are characterized by a third Painlev\'e function.
Cite
@article{arxiv.1805.10450,
title = {On a surface isolated by Gambier},
author = {Runliang Lin and Robert Conte},
journal= {arXiv preprint arXiv:1805.10450},
year = {2018}
}
Comments
7 pages, no figure, to appear in Journal of nonlinear mathematical physics