English

A construction method for discrete constant negative Gaussian curvature surfaces

Differential Geometry 2016-04-12 v1

Abstract

This article is an application of the author's paper about a construction method for discrete constant negative Gaussian curvature surfaces, the nonlinear d'Alembert formula. The heart of this formula is the Birkhoff decomposition, and we give a simple algorithm for the Birkhoff decomposition. As an application, we draw figures of discrete constant negative Gaussian curvature surfaces given by this method.

Keywords

Cite

@article{arxiv.1604.02772,
  title  = {A construction method for discrete constant negative Gaussian curvature surfaces},
  author = {Shimpei Kobayashi},
  journal= {arXiv preprint arXiv:1604.02772},
  year   = {2016}
}

Comments

10 pages, 4 figures. arXiv admin note: text overlap with arXiv:1505.07189

R2 v1 2026-06-22T13:29:01.219Z