Nonlinear d'Alembert formula for discrete pseudospherical surfaces
Differential Geometry
2017-05-17 v3
Abstract
On the basis of loop group decompositions (Birkhoff decompositions), we give a discrete version of the nonlinear d'Alembert formula, a method of separation of variables of difference equations, for discrete constant negative Gauss curvature (pseudospherical) surfaces in Euclidean three space. We also compute two examples by this formula in detail.
Cite
@article{arxiv.1505.07189,
title = {Nonlinear d'Alembert formula for discrete pseudospherical surfaces},
author = {Shimpei Kobayashi},
journal= {arXiv preprint arXiv:1505.07189},
year = {2017}
}
Comments
21 pages, fixed typos (v3)